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Geometry Chapter 8 Area Review PA Anchors A3 B2 Cl
1 Find the missing value given BCDA is a rectangle Perimeter = 62 cm
Area =
B ---____---c
17 em
V dt- ~vJ A =- uJ
~ J
~) - - 0
rJ ~ -
lt+
A 0 (YCWLllL~)1 i+ )LI1)
0 ~3~ U1l)1t+~4 -~-J
- G)LT
Slshy
2 Find the missing value given BCDA is a rectangle Perimeter = 56 cm
p - LuArea = J2l -+-Jw ~ - lQ + J(3 ) A -- ( t CWgtk I 3 ~ )B C
5( ~ J J-4- U11 6 - Iqs- ~VYI9 _) U13 em J ~
J~ It~
VA IS Jshy
3 Calculate the area of the figure
mQ-_4=-=----7_c-r gtlt--R
6cm
~ lQ L
3 3clrJ rshy T
~
p u
3 cm
S
A=- A(~) ~ A w-l-~
A -- 4 t lJl Lgt Glgt ) -+ l L--- )[ ~ (An )
JU ~4- q ~L
(pound0
4 Calculate the area of the figure
Q
12 km
lD
To)
u
A ACD~ A~
4km A- Lu - 1tJ
) (Y ~l-w-) - (Ytnll4~ )
A- Hib L-n-t - Ito yen-mtshy
CF7- J kll)
P 14 km W
5 Calculate the area of the figure
Q R
-J 9 L 5m l - amp-luJ
15 m
I T~ S
i
U i
_A ~ l(~l(J fY) -U371 ~ rn )
V A =gtO m2_ 2Y rY)L L
h I ~1S-~0 p 16m w
6 Calculate the area of the figure
c 7 mmQ lth R A J-p T~
4mm
p
~ L
d) ~
2mm A w -+ juJI jI X
I A lWI-n( 4 m ) 4- ~nw~-~mYV) I
-l 7tgt M I
T ~~1 S ~ ~- )I) )~ M 7 4 ~
02
u (0740
7 Find the area of parallelogram MNOP P 0
--____---
45 em
___ r M 16 em N
8 Find the area of parallelogram A1NOP
~___
P
-L ___ r
0
48 em
M 17 em N
9 Find the area of parallelogram QRST s
Ab~1 A =-- (l ~ C VYI )( i S-~ )o ~ Cftl)
A~bh A -=-( 1 (yenY X4 f6 (~ )
0~middot I(u0
A ~- bh A - (LPltt rrY 54 m)
cJ3ln- 0
10 Find the area of parallelogram QRST R____57_i_ll_---s A-b~
A -==-( 5 -=t I I) Y4 4 ~ Y) )
Cf- l -=11 raquoQ~_----L---_----
11 Find the area of MBC A- hbh B A ~ ~ (31 ~~iq ~J)
~~ 44 ~d~)~9 yd
A -E 32 yd gtC
12 Find the area of MBC
B
~A- ~(toP-X4f)16 ft 6 ft
A 4ft c CE~ fD R~ lt 20 ft gt
13 Find the area of trapezoid ABCD
C A~ k lb +bl-) h
A ~ ~ (24 + -X I ) p - r 5~ II~ A ~ 30)- ml-D
14 Find the area oftrapezoidABCD
B 16m C A ~(b-rb-)n
~D A~ J (ltO+30~11 )12 m 11 m ( -J A - ~ (H )li )
A 30 m 0 - 253 ())1)
15 Find the area of kite RSTU
A ~ kdcl2shyA - ~ (l)t)(~yen))
R~__==~__~=-__~T
lt2 ~ 40 u
s
16 Find the area of kite RSTU A ~ 5 dl t~2 s ~ - ~ (t3 I ltJltt ~)
T 0~q~n9
u
17 A rectangular piece of fabric measures 37 by 36 inches A triangular scarf with a height of 31 inches and a base of 28 inches is cut from the fabric How much fabric is left over
R
A -- k -A~ A ~ Lw - ~bh A - (1 [3(q ) - ~ (~~t3 I )
A- lJgt3~ I(~- +3f-
~7~ ii0 18 A rectangular piece of fabric measures 45 by 37 inches A triangular scarf with a height of
29 inches and a base of 32 inches is cut from the fabric How much fabric is left over
A Aa-AtI A - tltt) - -5bh A (45 37 0) lt~ (3l j-tt )
A ~ II (~~- )ll- - 4(~ In1shy
G IOLO9 19 Find the area of the regular polygon
Agt ~atgtn A-- i-( 5~ rf L i i k )
(poundQ3 ( I
gt-~ 6 in
- - -
20 Find the area of the regular polygon S A) ~asV)
T A gt ~(SIS- f))L~~is)
~~ lt~ n~ 8 in
21 If a regular octagon with 2-centimeter sides has an approximate area of 19 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A - 1 ctS
lq ~ ~ o()~) )q YeL ltj lt2
a ~ 1 37~
3~W0
22 If a regular pentagon with 13-centimeter sides has an approximate area of 291 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A ~tLS n
tl I ~ -3 0 (i 315)
~tj I 3) S 4shy
3 s 5 S
tl ~ ~r1S 3 ~ lj v ISLI
0~q~~
23 Find the area of a regular pentagon with an apothem 55 meters long and a side 8 meters long
A~ ~CLSV
b- ~ (5S Ygt( laquoy 5 J Q () f) -)
24 Find the area of a regular heptagon with an apothem 104 centimeters long and a side 10 centimeters long A - J-lt5 Y)
j - -z ()O4 LV Ie) Lny)
E3~~ ltYh0
25 In the figure each circle has a radius of 7 inches What is the area of the portion outside the
A-= A-o- qAQ A LtD - q1rrJ
A- (4)Y4) - q Tf()1-
A 1amp i - 19n-)[lJq)
0 -= (1 1-pound4- 4yen-11t) IJ~
26 In the figure each circle has a radius of 5 inches What is the area of the portion outside the circles but inside the square Express your answer in terms of Jr
A-=An-4Aco A -=- ~( - -J -r 1shy
A Cd(6)lJ)) - YIT l 5)shy
A ~ -1-00 - (4rryJ-0
( eLf 60 - )1)0 fT ) il)1)
circles but inside the square Express your answer in terms of Jr
ltElt---- 42 in ----gt~
lt 20 in --gt~
27 Find the area of a circle with radius 9 centimeters Use Jr = 314 (Round to the nearest two decimal places) A ~1t- 2- A ltt I 13 t 4
A 011 (-1)1- 1 II 1A ItJ tl6 3 CYIA - ~ Ii
28 Find the area of a circle with radius 13 centimeters Use Jr = 314 (Round to the nearest two decimal places) ) -rryL A~ I ~q 13 14
A - Ti ()~)l A r 30 Lgt 14 CIvIL
A ~11i7-
29 A circle has a circumference of 4Jrcentimeters What is the area of the circle
c -= ttr( A- it y_l )
Lt-1I ~ A ~ 1I~t)-___- middot
~ ~1
30 A circle has a circumference of30Jrcentimeters What is the area of the circle C - d 11Y A ~ frJ1
A - iTLI~)
f20lSlI ~0 31 A circle has an area of 64Jrcentimeters squared What is the diameter of the circle
A~ ~ cl-02 r l4 Tt 111- d JW)
1l 1r
L 1 =-- 1 ~ 32 A circle has an area of 484Jrcentimeters squared What is the circumference of the circle
po IY 2shy
lshyJ4-1T 1f( C-- ~lT Ll--)
o 4 Lf-1I (ftgt
33 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r=314 (Round to the nearest two decimal places)
2 LA- lt1-R - nT
A c- til (amp5)7-_ 11(3)2
2m A ~~T - CJrt A - 10 fi
A ~ ~ l3 )ll)
cA ~ 50 ) m~
34 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r =314 (Round to the nearest two decimal places)
A--- 1 r(- 11
2 2A ~ 1 i ) ) - 11(3 3) 24 m
A 3~ Lq rr - H)l iT
A ~ ~I ~ W
A t J iR (3 )4)
A ~ ~f ltil~
G -X-t7 ji 0 35 Find the exact area of the shaded portion of the figure
A~ A~ - Ao
A ~ ~bh- t1-t~
A =- ~llq )(1 tJ1 - If (J5i
l 511)0 A
19 in
B
16 in
~~sectsect=c 0 Q5 )
36 Find the exact area of the shaded portion of the figure
37 Find the area of the shaded region Use 7r = 314 (Round to the nearest two decimal places) tt 1shyA ---lTr
bull J llO
A ~ ~ 1 U)L3~c)
A -- ~ l)5Tt)
allA- ~
~ ~ pound3 14) A X l
A ~ J3 D~ 3
~o~vn9
38 Find the area of the shaded region Use 7r =314 (Round to the nearest two decimal places)
P (7shyA - 3IPo ~) )2shy
A - -3(0
Llo
A - ~ l3luli) A ~ -(Pushy
1( - S-
Al( ~~(3 ) Sshy
A t ll lo 0lt6
~ampL~
39 Find the surface area of this rectangular prism
5A ~ )ivJ+ dwh -+ )poundh SA 1 (10 )lIt)) + -l( I o ) llt 2( 1()0)
SA abo- -to -t- +0 10 em (sAC ~80 CYr1-)
40 SA - (iiL-o 4- Jv h 4- l-ih
SA ~ 1(JIXS- )-+ J(lS-(J) -+ L(I I(I)
lem SA -- 33o+- 30 r 22 llcm
41 Find the surface area of the right pyramid (Round to the nearest decimal place)
5A ~ AD +- LfA~
SA fLw -+ if (~bh)
9A -- ((pU) 4- -I ( ~ ~ lt0Y-) SA - 3ltP ~ 84
(fA ~ JO [-to-)
2em
Find the surface area of this rectangular prism
6ft
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
4 Calculate the area of the figure
Q
12 km
lD
To)
u
A ACD~ A~
4km A- Lu - 1tJ
) (Y ~l-w-) - (Ytnll4~ )
A- Hib L-n-t - Ito yen-mtshy
CF7- J kll)
P 14 km W
5 Calculate the area of the figure
Q R
-J 9 L 5m l - amp-luJ
15 m
I T~ S
i
U i
_A ~ l(~l(J fY) -U371 ~ rn )
V A =gtO m2_ 2Y rY)L L
h I ~1S-~0 p 16m w
6 Calculate the area of the figure
c 7 mmQ lth R A J-p T~
4mm
p
~ L
d) ~
2mm A w -+ juJI jI X
I A lWI-n( 4 m ) 4- ~nw~-~mYV) I
-l 7tgt M I
T ~~1 S ~ ~- )I) )~ M 7 4 ~
02
u (0740
7 Find the area of parallelogram MNOP P 0
--____---
45 em
___ r M 16 em N
8 Find the area of parallelogram A1NOP
~___
P
-L ___ r
0
48 em
M 17 em N
9 Find the area of parallelogram QRST s
Ab~1 A =-- (l ~ C VYI )( i S-~ )o ~ Cftl)
A~bh A -=-( 1 (yenY X4 f6 (~ )
0~middot I(u0
A ~- bh A - (LPltt rrY 54 m)
cJ3ln- 0
10 Find the area of parallelogram QRST R____57_i_ll_---s A-b~
A -==-( 5 -=t I I) Y4 4 ~ Y) )
Cf- l -=11 raquoQ~_----L---_----
11 Find the area of MBC A- hbh B A ~ ~ (31 ~~iq ~J)
~~ 44 ~d~)~9 yd
A -E 32 yd gtC
12 Find the area of MBC
B
~A- ~(toP-X4f)16 ft 6 ft
A 4ft c CE~ fD R~ lt 20 ft gt
13 Find the area of trapezoid ABCD
C A~ k lb +bl-) h
A ~ ~ (24 + -X I ) p - r 5~ II~ A ~ 30)- ml-D
14 Find the area oftrapezoidABCD
B 16m C A ~(b-rb-)n
~D A~ J (ltO+30~11 )12 m 11 m ( -J A - ~ (H )li )
A 30 m 0 - 253 ())1)
15 Find the area of kite RSTU
A ~ kdcl2shyA - ~ (l)t)(~yen))
R~__==~__~=-__~T
lt2 ~ 40 u
s
16 Find the area of kite RSTU A ~ 5 dl t~2 s ~ - ~ (t3 I ltJltt ~)
T 0~q~n9
u
17 A rectangular piece of fabric measures 37 by 36 inches A triangular scarf with a height of 31 inches and a base of 28 inches is cut from the fabric How much fabric is left over
R
A -- k -A~ A ~ Lw - ~bh A - (1 [3(q ) - ~ (~~t3 I )
A- lJgt3~ I(~- +3f-
~7~ ii0 18 A rectangular piece of fabric measures 45 by 37 inches A triangular scarf with a height of
29 inches and a base of 32 inches is cut from the fabric How much fabric is left over
A Aa-AtI A - tltt) - -5bh A (45 37 0) lt~ (3l j-tt )
A ~ II (~~- )ll- - 4(~ In1shy
G IOLO9 19 Find the area of the regular polygon
Agt ~atgtn A-- i-( 5~ rf L i i k )
(poundQ3 ( I
gt-~ 6 in
- - -
20 Find the area of the regular polygon S A) ~asV)
T A gt ~(SIS- f))L~~is)
~~ lt~ n~ 8 in
21 If a regular octagon with 2-centimeter sides has an approximate area of 19 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A - 1 ctS
lq ~ ~ o()~) )q YeL ltj lt2
a ~ 1 37~
3~W0
22 If a regular pentagon with 13-centimeter sides has an approximate area of 291 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A ~tLS n
tl I ~ -3 0 (i 315)
~tj I 3) S 4shy
3 s 5 S
tl ~ ~r1S 3 ~ lj v ISLI
0~q~~
23 Find the area of a regular pentagon with an apothem 55 meters long and a side 8 meters long
A~ ~CLSV
b- ~ (5S Ygt( laquoy 5 J Q () f) -)
24 Find the area of a regular heptagon with an apothem 104 centimeters long and a side 10 centimeters long A - J-lt5 Y)
j - -z ()O4 LV Ie) Lny)
E3~~ ltYh0
25 In the figure each circle has a radius of 7 inches What is the area of the portion outside the
A-= A-o- qAQ A LtD - q1rrJ
A- (4)Y4) - q Tf()1-
A 1amp i - 19n-)[lJq)
0 -= (1 1-pound4- 4yen-11t) IJ~
26 In the figure each circle has a radius of 5 inches What is the area of the portion outside the circles but inside the square Express your answer in terms of Jr
A-=An-4Aco A -=- ~( - -J -r 1shy
A Cd(6)lJ)) - YIT l 5)shy
A ~ -1-00 - (4rryJ-0
( eLf 60 - )1)0 fT ) il)1)
circles but inside the square Express your answer in terms of Jr
ltElt---- 42 in ----gt~
lt 20 in --gt~
27 Find the area of a circle with radius 9 centimeters Use Jr = 314 (Round to the nearest two decimal places) A ~1t- 2- A ltt I 13 t 4
A 011 (-1)1- 1 II 1A ItJ tl6 3 CYIA - ~ Ii
28 Find the area of a circle with radius 13 centimeters Use Jr = 314 (Round to the nearest two decimal places) ) -rryL A~ I ~q 13 14
A - Ti ()~)l A r 30 Lgt 14 CIvIL
A ~11i7-
29 A circle has a circumference of 4Jrcentimeters What is the area of the circle
c -= ttr( A- it y_l )
Lt-1I ~ A ~ 1I~t)-___- middot
~ ~1
30 A circle has a circumference of30Jrcentimeters What is the area of the circle C - d 11Y A ~ frJ1
A - iTLI~)
f20lSlI ~0 31 A circle has an area of 64Jrcentimeters squared What is the diameter of the circle
A~ ~ cl-02 r l4 Tt 111- d JW)
1l 1r
L 1 =-- 1 ~ 32 A circle has an area of 484Jrcentimeters squared What is the circumference of the circle
po IY 2shy
lshyJ4-1T 1f( C-- ~lT Ll--)
o 4 Lf-1I (ftgt
33 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r=314 (Round to the nearest two decimal places)
2 LA- lt1-R - nT
A c- til (amp5)7-_ 11(3)2
2m A ~~T - CJrt A - 10 fi
A ~ ~ l3 )ll)
cA ~ 50 ) m~
34 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r =314 (Round to the nearest two decimal places)
A--- 1 r(- 11
2 2A ~ 1 i ) ) - 11(3 3) 24 m
A 3~ Lq rr - H)l iT
A ~ ~I ~ W
A t J iR (3 )4)
A ~ ~f ltil~
G -X-t7 ji 0 35 Find the exact area of the shaded portion of the figure
A~ A~ - Ao
A ~ ~bh- t1-t~
A =- ~llq )(1 tJ1 - If (J5i
l 511)0 A
19 in
B
16 in
~~sectsect=c 0 Q5 )
36 Find the exact area of the shaded portion of the figure
37 Find the area of the shaded region Use 7r = 314 (Round to the nearest two decimal places) tt 1shyA ---lTr
bull J llO
A ~ ~ 1 U)L3~c)
A -- ~ l)5Tt)
allA- ~
~ ~ pound3 14) A X l
A ~ J3 D~ 3
~o~vn9
38 Find the area of the shaded region Use 7r =314 (Round to the nearest two decimal places)
P (7shyA - 3IPo ~) )2shy
A - -3(0
Llo
A - ~ l3luli) A ~ -(Pushy
1( - S-
Al( ~~(3 ) Sshy
A t ll lo 0lt6
~ampL~
39 Find the surface area of this rectangular prism
5A ~ )ivJ+ dwh -+ )poundh SA 1 (10 )lIt)) + -l( I o ) llt 2( 1()0)
SA abo- -to -t- +0 10 em (sAC ~80 CYr1-)
40 SA - (iiL-o 4- Jv h 4- l-ih
SA ~ 1(JIXS- )-+ J(lS-(J) -+ L(I I(I)
lem SA -- 33o+- 30 r 22 llcm
41 Find the surface area of the right pyramid (Round to the nearest decimal place)
5A ~ AD +- LfA~
SA fLw -+ if (~bh)
9A -- ((pU) 4- -I ( ~ ~ lt0Y-) SA - 3ltP ~ 84
(fA ~ JO [-to-)
2em
Find the surface area of this rectangular prism
6ft
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
7 Find the area of parallelogram MNOP P 0
--____---
45 em
___ r M 16 em N
8 Find the area of parallelogram A1NOP
~___
P
-L ___ r
0
48 em
M 17 em N
9 Find the area of parallelogram QRST s
Ab~1 A =-- (l ~ C VYI )( i S-~ )o ~ Cftl)
A~bh A -=-( 1 (yenY X4 f6 (~ )
0~middot I(u0
A ~- bh A - (LPltt rrY 54 m)
cJ3ln- 0
10 Find the area of parallelogram QRST R____57_i_ll_---s A-b~
A -==-( 5 -=t I I) Y4 4 ~ Y) )
Cf- l -=11 raquoQ~_----L---_----
11 Find the area of MBC A- hbh B A ~ ~ (31 ~~iq ~J)
~~ 44 ~d~)~9 yd
A -E 32 yd gtC
12 Find the area of MBC
B
~A- ~(toP-X4f)16 ft 6 ft
A 4ft c CE~ fD R~ lt 20 ft gt
13 Find the area of trapezoid ABCD
C A~ k lb +bl-) h
A ~ ~ (24 + -X I ) p - r 5~ II~ A ~ 30)- ml-D
14 Find the area oftrapezoidABCD
B 16m C A ~(b-rb-)n
~D A~ J (ltO+30~11 )12 m 11 m ( -J A - ~ (H )li )
A 30 m 0 - 253 ())1)
15 Find the area of kite RSTU
A ~ kdcl2shyA - ~ (l)t)(~yen))
R~__==~__~=-__~T
lt2 ~ 40 u
s
16 Find the area of kite RSTU A ~ 5 dl t~2 s ~ - ~ (t3 I ltJltt ~)
T 0~q~n9
u
17 A rectangular piece of fabric measures 37 by 36 inches A triangular scarf with a height of 31 inches and a base of 28 inches is cut from the fabric How much fabric is left over
R
A -- k -A~ A ~ Lw - ~bh A - (1 [3(q ) - ~ (~~t3 I )
A- lJgt3~ I(~- +3f-
~7~ ii0 18 A rectangular piece of fabric measures 45 by 37 inches A triangular scarf with a height of
29 inches and a base of 32 inches is cut from the fabric How much fabric is left over
A Aa-AtI A - tltt) - -5bh A (45 37 0) lt~ (3l j-tt )
A ~ II (~~- )ll- - 4(~ In1shy
G IOLO9 19 Find the area of the regular polygon
Agt ~atgtn A-- i-( 5~ rf L i i k )
(poundQ3 ( I
gt-~ 6 in
- - -
20 Find the area of the regular polygon S A) ~asV)
T A gt ~(SIS- f))L~~is)
~~ lt~ n~ 8 in
21 If a regular octagon with 2-centimeter sides has an approximate area of 19 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A - 1 ctS
lq ~ ~ o()~) )q YeL ltj lt2
a ~ 1 37~
3~W0
22 If a regular pentagon with 13-centimeter sides has an approximate area of 291 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A ~tLS n
tl I ~ -3 0 (i 315)
~tj I 3) S 4shy
3 s 5 S
tl ~ ~r1S 3 ~ lj v ISLI
0~q~~
23 Find the area of a regular pentagon with an apothem 55 meters long and a side 8 meters long
A~ ~CLSV
b- ~ (5S Ygt( laquoy 5 J Q () f) -)
24 Find the area of a regular heptagon with an apothem 104 centimeters long and a side 10 centimeters long A - J-lt5 Y)
j - -z ()O4 LV Ie) Lny)
E3~~ ltYh0
25 In the figure each circle has a radius of 7 inches What is the area of the portion outside the
A-= A-o- qAQ A LtD - q1rrJ
A- (4)Y4) - q Tf()1-
A 1amp i - 19n-)[lJq)
0 -= (1 1-pound4- 4yen-11t) IJ~
26 In the figure each circle has a radius of 5 inches What is the area of the portion outside the circles but inside the square Express your answer in terms of Jr
A-=An-4Aco A -=- ~( - -J -r 1shy
A Cd(6)lJ)) - YIT l 5)shy
A ~ -1-00 - (4rryJ-0
( eLf 60 - )1)0 fT ) il)1)
circles but inside the square Express your answer in terms of Jr
ltElt---- 42 in ----gt~
lt 20 in --gt~
27 Find the area of a circle with radius 9 centimeters Use Jr = 314 (Round to the nearest two decimal places) A ~1t- 2- A ltt I 13 t 4
A 011 (-1)1- 1 II 1A ItJ tl6 3 CYIA - ~ Ii
28 Find the area of a circle with radius 13 centimeters Use Jr = 314 (Round to the nearest two decimal places) ) -rryL A~ I ~q 13 14
A - Ti ()~)l A r 30 Lgt 14 CIvIL
A ~11i7-
29 A circle has a circumference of 4Jrcentimeters What is the area of the circle
c -= ttr( A- it y_l )
Lt-1I ~ A ~ 1I~t)-___- middot
~ ~1
30 A circle has a circumference of30Jrcentimeters What is the area of the circle C - d 11Y A ~ frJ1
A - iTLI~)
f20lSlI ~0 31 A circle has an area of 64Jrcentimeters squared What is the diameter of the circle
A~ ~ cl-02 r l4 Tt 111- d JW)
1l 1r
L 1 =-- 1 ~ 32 A circle has an area of 484Jrcentimeters squared What is the circumference of the circle
po IY 2shy
lshyJ4-1T 1f( C-- ~lT Ll--)
o 4 Lf-1I (ftgt
33 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r=314 (Round to the nearest two decimal places)
2 LA- lt1-R - nT
A c- til (amp5)7-_ 11(3)2
2m A ~~T - CJrt A - 10 fi
A ~ ~ l3 )ll)
cA ~ 50 ) m~
34 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r =314 (Round to the nearest two decimal places)
A--- 1 r(- 11
2 2A ~ 1 i ) ) - 11(3 3) 24 m
A 3~ Lq rr - H)l iT
A ~ ~I ~ W
A t J iR (3 )4)
A ~ ~f ltil~
G -X-t7 ji 0 35 Find the exact area of the shaded portion of the figure
A~ A~ - Ao
A ~ ~bh- t1-t~
A =- ~llq )(1 tJ1 - If (J5i
l 511)0 A
19 in
B
16 in
~~sectsect=c 0 Q5 )
36 Find the exact area of the shaded portion of the figure
37 Find the area of the shaded region Use 7r = 314 (Round to the nearest two decimal places) tt 1shyA ---lTr
bull J llO
A ~ ~ 1 U)L3~c)
A -- ~ l)5Tt)
allA- ~
~ ~ pound3 14) A X l
A ~ J3 D~ 3
~o~vn9
38 Find the area of the shaded region Use 7r =314 (Round to the nearest two decimal places)
P (7shyA - 3IPo ~) )2shy
A - -3(0
Llo
A - ~ l3luli) A ~ -(Pushy
1( - S-
Al( ~~(3 ) Sshy
A t ll lo 0lt6
~ampL~
39 Find the surface area of this rectangular prism
5A ~ )ivJ+ dwh -+ )poundh SA 1 (10 )lIt)) + -l( I o ) llt 2( 1()0)
SA abo- -to -t- +0 10 em (sAC ~80 CYr1-)
40 SA - (iiL-o 4- Jv h 4- l-ih
SA ~ 1(JIXS- )-+ J(lS-(J) -+ L(I I(I)
lem SA -- 33o+- 30 r 22 llcm
41 Find the surface area of the right pyramid (Round to the nearest decimal place)
5A ~ AD +- LfA~
SA fLw -+ if (~bh)
9A -- ((pU) 4- -I ( ~ ~ lt0Y-) SA - 3ltP ~ 84
(fA ~ JO [-to-)
2em
Find the surface area of this rectangular prism
6ft
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
11 Find the area of MBC A- hbh B A ~ ~ (31 ~~iq ~J)
~~ 44 ~d~)~9 yd
A -E 32 yd gtC
12 Find the area of MBC
B
~A- ~(toP-X4f)16 ft 6 ft
A 4ft c CE~ fD R~ lt 20 ft gt
13 Find the area of trapezoid ABCD
C A~ k lb +bl-) h
A ~ ~ (24 + -X I ) p - r 5~ II~ A ~ 30)- ml-D
14 Find the area oftrapezoidABCD
B 16m C A ~(b-rb-)n
~D A~ J (ltO+30~11 )12 m 11 m ( -J A - ~ (H )li )
A 30 m 0 - 253 ())1)
15 Find the area of kite RSTU
A ~ kdcl2shyA - ~ (l)t)(~yen))
R~__==~__~=-__~T
lt2 ~ 40 u
s
16 Find the area of kite RSTU A ~ 5 dl t~2 s ~ - ~ (t3 I ltJltt ~)
T 0~q~n9
u
17 A rectangular piece of fabric measures 37 by 36 inches A triangular scarf with a height of 31 inches and a base of 28 inches is cut from the fabric How much fabric is left over
R
A -- k -A~ A ~ Lw - ~bh A - (1 [3(q ) - ~ (~~t3 I )
A- lJgt3~ I(~- +3f-
~7~ ii0 18 A rectangular piece of fabric measures 45 by 37 inches A triangular scarf with a height of
29 inches and a base of 32 inches is cut from the fabric How much fabric is left over
A Aa-AtI A - tltt) - -5bh A (45 37 0) lt~ (3l j-tt )
A ~ II (~~- )ll- - 4(~ In1shy
G IOLO9 19 Find the area of the regular polygon
Agt ~atgtn A-- i-( 5~ rf L i i k )
(poundQ3 ( I
gt-~ 6 in
- - -
20 Find the area of the regular polygon S A) ~asV)
T A gt ~(SIS- f))L~~is)
~~ lt~ n~ 8 in
21 If a regular octagon with 2-centimeter sides has an approximate area of 19 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A - 1 ctS
lq ~ ~ o()~) )q YeL ltj lt2
a ~ 1 37~
3~W0
22 If a regular pentagon with 13-centimeter sides has an approximate area of 291 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A ~tLS n
tl I ~ -3 0 (i 315)
~tj I 3) S 4shy
3 s 5 S
tl ~ ~r1S 3 ~ lj v ISLI
0~q~~
23 Find the area of a regular pentagon with an apothem 55 meters long and a side 8 meters long
A~ ~CLSV
b- ~ (5S Ygt( laquoy 5 J Q () f) -)
24 Find the area of a regular heptagon with an apothem 104 centimeters long and a side 10 centimeters long A - J-lt5 Y)
j - -z ()O4 LV Ie) Lny)
E3~~ ltYh0
25 In the figure each circle has a radius of 7 inches What is the area of the portion outside the
A-= A-o- qAQ A LtD - q1rrJ
A- (4)Y4) - q Tf()1-
A 1amp i - 19n-)[lJq)
0 -= (1 1-pound4- 4yen-11t) IJ~
26 In the figure each circle has a radius of 5 inches What is the area of the portion outside the circles but inside the square Express your answer in terms of Jr
A-=An-4Aco A -=- ~( - -J -r 1shy
A Cd(6)lJ)) - YIT l 5)shy
A ~ -1-00 - (4rryJ-0
( eLf 60 - )1)0 fT ) il)1)
circles but inside the square Express your answer in terms of Jr
ltElt---- 42 in ----gt~
lt 20 in --gt~
27 Find the area of a circle with radius 9 centimeters Use Jr = 314 (Round to the nearest two decimal places) A ~1t- 2- A ltt I 13 t 4
A 011 (-1)1- 1 II 1A ItJ tl6 3 CYIA - ~ Ii
28 Find the area of a circle with radius 13 centimeters Use Jr = 314 (Round to the nearest two decimal places) ) -rryL A~ I ~q 13 14
A - Ti ()~)l A r 30 Lgt 14 CIvIL
A ~11i7-
29 A circle has a circumference of 4Jrcentimeters What is the area of the circle
c -= ttr( A- it y_l )
Lt-1I ~ A ~ 1I~t)-___- middot
~ ~1
30 A circle has a circumference of30Jrcentimeters What is the area of the circle C - d 11Y A ~ frJ1
A - iTLI~)
f20lSlI ~0 31 A circle has an area of 64Jrcentimeters squared What is the diameter of the circle
A~ ~ cl-02 r l4 Tt 111- d JW)
1l 1r
L 1 =-- 1 ~ 32 A circle has an area of 484Jrcentimeters squared What is the circumference of the circle
po IY 2shy
lshyJ4-1T 1f( C-- ~lT Ll--)
o 4 Lf-1I (ftgt
33 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r=314 (Round to the nearest two decimal places)
2 LA- lt1-R - nT
A c- til (amp5)7-_ 11(3)2
2m A ~~T - CJrt A - 10 fi
A ~ ~ l3 )ll)
cA ~ 50 ) m~
34 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r =314 (Round to the nearest two decimal places)
A--- 1 r(- 11
2 2A ~ 1 i ) ) - 11(3 3) 24 m
A 3~ Lq rr - H)l iT
A ~ ~I ~ W
A t J iR (3 )4)
A ~ ~f ltil~
G -X-t7 ji 0 35 Find the exact area of the shaded portion of the figure
A~ A~ - Ao
A ~ ~bh- t1-t~
A =- ~llq )(1 tJ1 - If (J5i
l 511)0 A
19 in
B
16 in
~~sectsect=c 0 Q5 )
36 Find the exact area of the shaded portion of the figure
37 Find the area of the shaded region Use 7r = 314 (Round to the nearest two decimal places) tt 1shyA ---lTr
bull J llO
A ~ ~ 1 U)L3~c)
A -- ~ l)5Tt)
allA- ~
~ ~ pound3 14) A X l
A ~ J3 D~ 3
~o~vn9
38 Find the area of the shaded region Use 7r =314 (Round to the nearest two decimal places)
P (7shyA - 3IPo ~) )2shy
A - -3(0
Llo
A - ~ l3luli) A ~ -(Pushy
1( - S-
Al( ~~(3 ) Sshy
A t ll lo 0lt6
~ampL~
39 Find the surface area of this rectangular prism
5A ~ )ivJ+ dwh -+ )poundh SA 1 (10 )lIt)) + -l( I o ) llt 2( 1()0)
SA abo- -to -t- +0 10 em (sAC ~80 CYr1-)
40 SA - (iiL-o 4- Jv h 4- l-ih
SA ~ 1(JIXS- )-+ J(lS-(J) -+ L(I I(I)
lem SA -- 33o+- 30 r 22 llcm
41 Find the surface area of the right pyramid (Round to the nearest decimal place)
5A ~ AD +- LfA~
SA fLw -+ if (~bh)
9A -- ((pU) 4- -I ( ~ ~ lt0Y-) SA - 3ltP ~ 84
(fA ~ JO [-to-)
2em
Find the surface area of this rectangular prism
6ft
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
16 Find the area of kite RSTU A ~ 5 dl t~2 s ~ - ~ (t3 I ltJltt ~)
T 0~q~n9
u
17 A rectangular piece of fabric measures 37 by 36 inches A triangular scarf with a height of 31 inches and a base of 28 inches is cut from the fabric How much fabric is left over
R
A -- k -A~ A ~ Lw - ~bh A - (1 [3(q ) - ~ (~~t3 I )
A- lJgt3~ I(~- +3f-
~7~ ii0 18 A rectangular piece of fabric measures 45 by 37 inches A triangular scarf with a height of
29 inches and a base of 32 inches is cut from the fabric How much fabric is left over
A Aa-AtI A - tltt) - -5bh A (45 37 0) lt~ (3l j-tt )
A ~ II (~~- )ll- - 4(~ In1shy
G IOLO9 19 Find the area of the regular polygon
Agt ~atgtn A-- i-( 5~ rf L i i k )
(poundQ3 ( I
gt-~ 6 in
- - -
20 Find the area of the regular polygon S A) ~asV)
T A gt ~(SIS- f))L~~is)
~~ lt~ n~ 8 in
21 If a regular octagon with 2-centimeter sides has an approximate area of 19 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A - 1 ctS
lq ~ ~ o()~) )q YeL ltj lt2
a ~ 1 37~
3~W0
22 If a regular pentagon with 13-centimeter sides has an approximate area of 291 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A ~tLS n
tl I ~ -3 0 (i 315)
~tj I 3) S 4shy
3 s 5 S
tl ~ ~r1S 3 ~ lj v ISLI
0~q~~
23 Find the area of a regular pentagon with an apothem 55 meters long and a side 8 meters long
A~ ~CLSV
b- ~ (5S Ygt( laquoy 5 J Q () f) -)
24 Find the area of a regular heptagon with an apothem 104 centimeters long and a side 10 centimeters long A - J-lt5 Y)
j - -z ()O4 LV Ie) Lny)
E3~~ ltYh0
25 In the figure each circle has a radius of 7 inches What is the area of the portion outside the
A-= A-o- qAQ A LtD - q1rrJ
A- (4)Y4) - q Tf()1-
A 1amp i - 19n-)[lJq)
0 -= (1 1-pound4- 4yen-11t) IJ~
26 In the figure each circle has a radius of 5 inches What is the area of the portion outside the circles but inside the square Express your answer in terms of Jr
A-=An-4Aco A -=- ~( - -J -r 1shy
A Cd(6)lJ)) - YIT l 5)shy
A ~ -1-00 - (4rryJ-0
( eLf 60 - )1)0 fT ) il)1)
circles but inside the square Express your answer in terms of Jr
ltElt---- 42 in ----gt~
lt 20 in --gt~
27 Find the area of a circle with radius 9 centimeters Use Jr = 314 (Round to the nearest two decimal places) A ~1t- 2- A ltt I 13 t 4
A 011 (-1)1- 1 II 1A ItJ tl6 3 CYIA - ~ Ii
28 Find the area of a circle with radius 13 centimeters Use Jr = 314 (Round to the nearest two decimal places) ) -rryL A~ I ~q 13 14
A - Ti ()~)l A r 30 Lgt 14 CIvIL
A ~11i7-
29 A circle has a circumference of 4Jrcentimeters What is the area of the circle
c -= ttr( A- it y_l )
Lt-1I ~ A ~ 1I~t)-___- middot
~ ~1
30 A circle has a circumference of30Jrcentimeters What is the area of the circle C - d 11Y A ~ frJ1
A - iTLI~)
f20lSlI ~0 31 A circle has an area of 64Jrcentimeters squared What is the diameter of the circle
A~ ~ cl-02 r l4 Tt 111- d JW)
1l 1r
L 1 =-- 1 ~ 32 A circle has an area of 484Jrcentimeters squared What is the circumference of the circle
po IY 2shy
lshyJ4-1T 1f( C-- ~lT Ll--)
o 4 Lf-1I (ftgt
33 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r=314 (Round to the nearest two decimal places)
2 LA- lt1-R - nT
A c- til (amp5)7-_ 11(3)2
2m A ~~T - CJrt A - 10 fi
A ~ ~ l3 )ll)
cA ~ 50 ) m~
34 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r =314 (Round to the nearest two decimal places)
A--- 1 r(- 11
2 2A ~ 1 i ) ) - 11(3 3) 24 m
A 3~ Lq rr - H)l iT
A ~ ~I ~ W
A t J iR (3 )4)
A ~ ~f ltil~
G -X-t7 ji 0 35 Find the exact area of the shaded portion of the figure
A~ A~ - Ao
A ~ ~bh- t1-t~
A =- ~llq )(1 tJ1 - If (J5i
l 511)0 A
19 in
B
16 in
~~sectsect=c 0 Q5 )
36 Find the exact area of the shaded portion of the figure
37 Find the area of the shaded region Use 7r = 314 (Round to the nearest two decimal places) tt 1shyA ---lTr
bull J llO
A ~ ~ 1 U)L3~c)
A -- ~ l)5Tt)
allA- ~
~ ~ pound3 14) A X l
A ~ J3 D~ 3
~o~vn9
38 Find the area of the shaded region Use 7r =314 (Round to the nearest two decimal places)
P (7shyA - 3IPo ~) )2shy
A - -3(0
Llo
A - ~ l3luli) A ~ -(Pushy
1( - S-
Al( ~~(3 ) Sshy
A t ll lo 0lt6
~ampL~
39 Find the surface area of this rectangular prism
5A ~ )ivJ+ dwh -+ )poundh SA 1 (10 )lIt)) + -l( I o ) llt 2( 1()0)
SA abo- -to -t- +0 10 em (sAC ~80 CYr1-)
40 SA - (iiL-o 4- Jv h 4- l-ih
SA ~ 1(JIXS- )-+ J(lS-(J) -+ L(I I(I)
lem SA -- 33o+- 30 r 22 llcm
41 Find the surface area of the right pyramid (Round to the nearest decimal place)
5A ~ AD +- LfA~
SA fLw -+ if (~bh)
9A -- ((pU) 4- -I ( ~ ~ lt0Y-) SA - 3ltP ~ 84
(fA ~ JO [-to-)
2em
Find the surface area of this rectangular prism
6ft
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
- - -
20 Find the area of the regular polygon S A) ~asV)
T A gt ~(SIS- f))L~~is)
~~ lt~ n~ 8 in
21 If a regular octagon with 2-centimeter sides has an approximate area of 19 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A - 1 ctS
lq ~ ~ o()~) )q YeL ltj lt2
a ~ 1 37~
3~W0
22 If a regular pentagon with 13-centimeter sides has an approximate area of 291 centimeters squared what is the approximate length of the apothem to the nearest
hundredth A ~tLS n
tl I ~ -3 0 (i 315)
~tj I 3) S 4shy
3 s 5 S
tl ~ ~r1S 3 ~ lj v ISLI
0~q~~
23 Find the area of a regular pentagon with an apothem 55 meters long and a side 8 meters long
A~ ~CLSV
b- ~ (5S Ygt( laquoy 5 J Q () f) -)
24 Find the area of a regular heptagon with an apothem 104 centimeters long and a side 10 centimeters long A - J-lt5 Y)
j - -z ()O4 LV Ie) Lny)
E3~~ ltYh0
25 In the figure each circle has a radius of 7 inches What is the area of the portion outside the
A-= A-o- qAQ A LtD - q1rrJ
A- (4)Y4) - q Tf()1-
A 1amp i - 19n-)[lJq)
0 -= (1 1-pound4- 4yen-11t) IJ~
26 In the figure each circle has a radius of 5 inches What is the area of the portion outside the circles but inside the square Express your answer in terms of Jr
A-=An-4Aco A -=- ~( - -J -r 1shy
A Cd(6)lJ)) - YIT l 5)shy
A ~ -1-00 - (4rryJ-0
( eLf 60 - )1)0 fT ) il)1)
circles but inside the square Express your answer in terms of Jr
ltElt---- 42 in ----gt~
lt 20 in --gt~
27 Find the area of a circle with radius 9 centimeters Use Jr = 314 (Round to the nearest two decimal places) A ~1t- 2- A ltt I 13 t 4
A 011 (-1)1- 1 II 1A ItJ tl6 3 CYIA - ~ Ii
28 Find the area of a circle with radius 13 centimeters Use Jr = 314 (Round to the nearest two decimal places) ) -rryL A~ I ~q 13 14
A - Ti ()~)l A r 30 Lgt 14 CIvIL
A ~11i7-
29 A circle has a circumference of 4Jrcentimeters What is the area of the circle
c -= ttr( A- it y_l )
Lt-1I ~ A ~ 1I~t)-___- middot
~ ~1
30 A circle has a circumference of30Jrcentimeters What is the area of the circle C - d 11Y A ~ frJ1
A - iTLI~)
f20lSlI ~0 31 A circle has an area of 64Jrcentimeters squared What is the diameter of the circle
A~ ~ cl-02 r l4 Tt 111- d JW)
1l 1r
L 1 =-- 1 ~ 32 A circle has an area of 484Jrcentimeters squared What is the circumference of the circle
po IY 2shy
lshyJ4-1T 1f( C-- ~lT Ll--)
o 4 Lf-1I (ftgt
33 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r=314 (Round to the nearest two decimal places)
2 LA- lt1-R - nT
A c- til (amp5)7-_ 11(3)2
2m A ~~T - CJrt A - 10 fi
A ~ ~ l3 )ll)
cA ~ 50 ) m~
34 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r =314 (Round to the nearest two decimal places)
A--- 1 r(- 11
2 2A ~ 1 i ) ) - 11(3 3) 24 m
A 3~ Lq rr - H)l iT
A ~ ~I ~ W
A t J iR (3 )4)
A ~ ~f ltil~
G -X-t7 ji 0 35 Find the exact area of the shaded portion of the figure
A~ A~ - Ao
A ~ ~bh- t1-t~
A =- ~llq )(1 tJ1 - If (J5i
l 511)0 A
19 in
B
16 in
~~sectsect=c 0 Q5 )
36 Find the exact area of the shaded portion of the figure
37 Find the area of the shaded region Use 7r = 314 (Round to the nearest two decimal places) tt 1shyA ---lTr
bull J llO
A ~ ~ 1 U)L3~c)
A -- ~ l)5Tt)
allA- ~
~ ~ pound3 14) A X l
A ~ J3 D~ 3
~o~vn9
38 Find the area of the shaded region Use 7r =314 (Round to the nearest two decimal places)
P (7shyA - 3IPo ~) )2shy
A - -3(0
Llo
A - ~ l3luli) A ~ -(Pushy
1( - S-
Al( ~~(3 ) Sshy
A t ll lo 0lt6
~ampL~
39 Find the surface area of this rectangular prism
5A ~ )ivJ+ dwh -+ )poundh SA 1 (10 )lIt)) + -l( I o ) llt 2( 1()0)
SA abo- -to -t- +0 10 em (sAC ~80 CYr1-)
40 SA - (iiL-o 4- Jv h 4- l-ih
SA ~ 1(JIXS- )-+ J(lS-(J) -+ L(I I(I)
lem SA -- 33o+- 30 r 22 llcm
41 Find the surface area of the right pyramid (Round to the nearest decimal place)
5A ~ AD +- LfA~
SA fLw -+ if (~bh)
9A -- ((pU) 4- -I ( ~ ~ lt0Y-) SA - 3ltP ~ 84
(fA ~ JO [-to-)
2em
Find the surface area of this rectangular prism
6ft
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
24 Find the area of a regular heptagon with an apothem 104 centimeters long and a side 10 centimeters long A - J-lt5 Y)
j - -z ()O4 LV Ie) Lny)
E3~~ ltYh0
25 In the figure each circle has a radius of 7 inches What is the area of the portion outside the
A-= A-o- qAQ A LtD - q1rrJ
A- (4)Y4) - q Tf()1-
A 1amp i - 19n-)[lJq)
0 -= (1 1-pound4- 4yen-11t) IJ~
26 In the figure each circle has a radius of 5 inches What is the area of the portion outside the circles but inside the square Express your answer in terms of Jr
A-=An-4Aco A -=- ~( - -J -r 1shy
A Cd(6)lJ)) - YIT l 5)shy
A ~ -1-00 - (4rryJ-0
( eLf 60 - )1)0 fT ) il)1)
circles but inside the square Express your answer in terms of Jr
ltElt---- 42 in ----gt~
lt 20 in --gt~
27 Find the area of a circle with radius 9 centimeters Use Jr = 314 (Round to the nearest two decimal places) A ~1t- 2- A ltt I 13 t 4
A 011 (-1)1- 1 II 1A ItJ tl6 3 CYIA - ~ Ii
28 Find the area of a circle with radius 13 centimeters Use Jr = 314 (Round to the nearest two decimal places) ) -rryL A~ I ~q 13 14
A - Ti ()~)l A r 30 Lgt 14 CIvIL
A ~11i7-
29 A circle has a circumference of 4Jrcentimeters What is the area of the circle
c -= ttr( A- it y_l )
Lt-1I ~ A ~ 1I~t)-___- middot
~ ~1
30 A circle has a circumference of30Jrcentimeters What is the area of the circle C - d 11Y A ~ frJ1
A - iTLI~)
f20lSlI ~0 31 A circle has an area of 64Jrcentimeters squared What is the diameter of the circle
A~ ~ cl-02 r l4 Tt 111- d JW)
1l 1r
L 1 =-- 1 ~ 32 A circle has an area of 484Jrcentimeters squared What is the circumference of the circle
po IY 2shy
lshyJ4-1T 1f( C-- ~lT Ll--)
o 4 Lf-1I (ftgt
33 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r=314 (Round to the nearest two decimal places)
2 LA- lt1-R - nT
A c- til (amp5)7-_ 11(3)2
2m A ~~T - CJrt A - 10 fi
A ~ ~ l3 )ll)
cA ~ 50 ) m~
34 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r =314 (Round to the nearest two decimal places)
A--- 1 r(- 11
2 2A ~ 1 i ) ) - 11(3 3) 24 m
A 3~ Lq rr - H)l iT
A ~ ~I ~ W
A t J iR (3 )4)
A ~ ~f ltil~
G -X-t7 ji 0 35 Find the exact area of the shaded portion of the figure
A~ A~ - Ao
A ~ ~bh- t1-t~
A =- ~llq )(1 tJ1 - If (J5i
l 511)0 A
19 in
B
16 in
~~sectsect=c 0 Q5 )
36 Find the exact area of the shaded portion of the figure
37 Find the area of the shaded region Use 7r = 314 (Round to the nearest two decimal places) tt 1shyA ---lTr
bull J llO
A ~ ~ 1 U)L3~c)
A -- ~ l)5Tt)
allA- ~
~ ~ pound3 14) A X l
A ~ J3 D~ 3
~o~vn9
38 Find the area of the shaded region Use 7r =314 (Round to the nearest two decimal places)
P (7shyA - 3IPo ~) )2shy
A - -3(0
Llo
A - ~ l3luli) A ~ -(Pushy
1( - S-
Al( ~~(3 ) Sshy
A t ll lo 0lt6
~ampL~
39 Find the surface area of this rectangular prism
5A ~ )ivJ+ dwh -+ )poundh SA 1 (10 )lIt)) + -l( I o ) llt 2( 1()0)
SA abo- -to -t- +0 10 em (sAC ~80 CYr1-)
40 SA - (iiL-o 4- Jv h 4- l-ih
SA ~ 1(JIXS- )-+ J(lS-(J) -+ L(I I(I)
lem SA -- 33o+- 30 r 22 llcm
41 Find the surface area of the right pyramid (Round to the nearest decimal place)
5A ~ AD +- LfA~
SA fLw -+ if (~bh)
9A -- ((pU) 4- -I ( ~ ~ lt0Y-) SA - 3ltP ~ 84
(fA ~ JO [-to-)
2em
Find the surface area of this rectangular prism
6ft
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
27 Find the area of a circle with radius 9 centimeters Use Jr = 314 (Round to the nearest two decimal places) A ~1t- 2- A ltt I 13 t 4
A 011 (-1)1- 1 II 1A ItJ tl6 3 CYIA - ~ Ii
28 Find the area of a circle with radius 13 centimeters Use Jr = 314 (Round to the nearest two decimal places) ) -rryL A~ I ~q 13 14
A - Ti ()~)l A r 30 Lgt 14 CIvIL
A ~11i7-
29 A circle has a circumference of 4Jrcentimeters What is the area of the circle
c -= ttr( A- it y_l )
Lt-1I ~ A ~ 1I~t)-___- middot
~ ~1
30 A circle has a circumference of30Jrcentimeters What is the area of the circle C - d 11Y A ~ frJ1
A - iTLI~)
f20lSlI ~0 31 A circle has an area of 64Jrcentimeters squared What is the diameter of the circle
A~ ~ cl-02 r l4 Tt 111- d JW)
1l 1r
L 1 =-- 1 ~ 32 A circle has an area of 484Jrcentimeters squared What is the circumference of the circle
po IY 2shy
lshyJ4-1T 1f( C-- ~lT Ll--)
o 4 Lf-1I (ftgt
33 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r=314 (Round to the nearest two decimal places)
2 LA- lt1-R - nT
A c- til (amp5)7-_ 11(3)2
2m A ~~T - CJrt A - 10 fi
A ~ ~ l3 )ll)
cA ~ 50 ) m~
34 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r =314 (Round to the nearest two decimal places)
A--- 1 r(- 11
2 2A ~ 1 i ) ) - 11(3 3) 24 m
A 3~ Lq rr - H)l iT
A ~ ~I ~ W
A t J iR (3 )4)
A ~ ~f ltil~
G -X-t7 ji 0 35 Find the exact area of the shaded portion of the figure
A~ A~ - Ao
A ~ ~bh- t1-t~
A =- ~llq )(1 tJ1 - If (J5i
l 511)0 A
19 in
B
16 in
~~sectsect=c 0 Q5 )
36 Find the exact area of the shaded portion of the figure
37 Find the area of the shaded region Use 7r = 314 (Round to the nearest two decimal places) tt 1shyA ---lTr
bull J llO
A ~ ~ 1 U)L3~c)
A -- ~ l)5Tt)
allA- ~
~ ~ pound3 14) A X l
A ~ J3 D~ 3
~o~vn9
38 Find the area of the shaded region Use 7r =314 (Round to the nearest two decimal places)
P (7shyA - 3IPo ~) )2shy
A - -3(0
Llo
A - ~ l3luli) A ~ -(Pushy
1( - S-
Al( ~~(3 ) Sshy
A t ll lo 0lt6
~ampL~
39 Find the surface area of this rectangular prism
5A ~ )ivJ+ dwh -+ )poundh SA 1 (10 )lIt)) + -l( I o ) llt 2( 1()0)
SA abo- -to -t- +0 10 em (sAC ~80 CYr1-)
40 SA - (iiL-o 4- Jv h 4- l-ih
SA ~ 1(JIXS- )-+ J(lS-(J) -+ L(I I(I)
lem SA -- 33o+- 30 r 22 llcm
41 Find the surface area of the right pyramid (Round to the nearest decimal place)
5A ~ AD +- LfA~
SA fLw -+ if (~bh)
9A -- ((pU) 4- -I ( ~ ~ lt0Y-) SA - 3ltP ~ 84
(fA ~ JO [-to-)
2em
Find the surface area of this rectangular prism
6ft
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
33 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r=314 (Round to the nearest two decimal places)
2 LA- lt1-R - nT
A c- til (amp5)7-_ 11(3)2
2m A ~~T - CJrt A - 10 fi
A ~ ~ l3 )ll)
cA ~ 50 ) m~
34 The figure below represents the overhead view of a deck surrounding a hot tub What is the area of the deck Use 7r =314 (Round to the nearest two decimal places)
A--- 1 r(- 11
2 2A ~ 1 i ) ) - 11(3 3) 24 m
A 3~ Lq rr - H)l iT
A ~ ~I ~ W
A t J iR (3 )4)
A ~ ~f ltil~
G -X-t7 ji 0 35 Find the exact area of the shaded portion of the figure
A~ A~ - Ao
A ~ ~bh- t1-t~
A =- ~llq )(1 tJ1 - If (J5i
l 511)0 A
19 in
B
16 in
~~sectsect=c 0 Q5 )
36 Find the exact area of the shaded portion of the figure
37 Find the area of the shaded region Use 7r = 314 (Round to the nearest two decimal places) tt 1shyA ---lTr
bull J llO
A ~ ~ 1 U)L3~c)
A -- ~ l)5Tt)
allA- ~
~ ~ pound3 14) A X l
A ~ J3 D~ 3
~o~vn9
38 Find the area of the shaded region Use 7r =314 (Round to the nearest two decimal places)
P (7shyA - 3IPo ~) )2shy
A - -3(0
Llo
A - ~ l3luli) A ~ -(Pushy
1( - S-
Al( ~~(3 ) Sshy
A t ll lo 0lt6
~ampL~
39 Find the surface area of this rectangular prism
5A ~ )ivJ+ dwh -+ )poundh SA 1 (10 )lIt)) + -l( I o ) llt 2( 1()0)
SA abo- -to -t- +0 10 em (sAC ~80 CYr1-)
40 SA - (iiL-o 4- Jv h 4- l-ih
SA ~ 1(JIXS- )-+ J(lS-(J) -+ L(I I(I)
lem SA -- 33o+- 30 r 22 llcm
41 Find the surface area of the right pyramid (Round to the nearest decimal place)
5A ~ AD +- LfA~
SA fLw -+ if (~bh)
9A -- ((pU) 4- -I ( ~ ~ lt0Y-) SA - 3ltP ~ 84
(fA ~ JO [-to-)
2em
Find the surface area of this rectangular prism
6ft
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
36 Find the exact area of the shaded portion of the figure
37 Find the area of the shaded region Use 7r = 314 (Round to the nearest two decimal places) tt 1shyA ---lTr
bull J llO
A ~ ~ 1 U)L3~c)
A -- ~ l)5Tt)
allA- ~
~ ~ pound3 14) A X l
A ~ J3 D~ 3
~o~vn9
38 Find the area of the shaded region Use 7r =314 (Round to the nearest two decimal places)
P (7shyA - 3IPo ~) )2shy
A - -3(0
Llo
A - ~ l3luli) A ~ -(Pushy
1( - S-
Al( ~~(3 ) Sshy
A t ll lo 0lt6
~ampL~
39 Find the surface area of this rectangular prism
5A ~ )ivJ+ dwh -+ )poundh SA 1 (10 )lIt)) + -l( I o ) llt 2( 1()0)
SA abo- -to -t- +0 10 em (sAC ~80 CYr1-)
40 SA - (iiL-o 4- Jv h 4- l-ih
SA ~ 1(JIXS- )-+ J(lS-(J) -+ L(I I(I)
lem SA -- 33o+- 30 r 22 llcm
41 Find the surface area of the right pyramid (Round to the nearest decimal place)
5A ~ AD +- LfA~
SA fLw -+ if (~bh)
9A -- ((pU) 4- -I ( ~ ~ lt0Y-) SA - 3ltP ~ 84
(fA ~ JO [-to-)
2em
Find the surface area of this rectangular prism
6ft
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
39 Find the surface area of this rectangular prism
5A ~ )ivJ+ dwh -+ )poundh SA 1 (10 )lIt)) + -l( I o ) llt 2( 1()0)
SA abo- -to -t- +0 10 em (sAC ~80 CYr1-)
40 SA - (iiL-o 4- Jv h 4- l-ih
SA ~ 1(JIXS- )-+ J(lS-(J) -+ L(I I(I)
lem SA -- 33o+- 30 r 22 llcm
41 Find the surface area of the right pyramid (Round to the nearest decimal place)
5A ~ AD +- LfA~
SA fLw -+ if (~bh)
9A -- ((pU) 4- -I ( ~ ~ lt0Y-) SA - 3ltP ~ 84
(fA ~ JO [-to-)
2em
Find the surface area of this rectangular prism
6ft
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
42 Find the surface area of the right pyramid (Round to the nearest decimal place)
SA~ AD 4- LJ AIgt SA -= Pw -f- l7t bh) SA ~ (L(t-LO 4- L C-k)(4X()
SA J ~ ~ 4 $
(SA IA A0 4ft
43 Find the surface area of the cone (Round to the nearest decimal place)
5A -0 1Iy-t -T 1fr~
SA ~ (Xll)+ 1 ()2
S A - lq iT - ~q1r
(SA = 10~1i cW) SA LD~ C~ middot 14 )
44 Find the surface area of the cone (Round to the nearest decimal place)
SA -= 1Irt + ltif r l
4SA -= (~) bullbullf) + 11 ( lo)
S~A ~4- tT -+ 3ltamp IT
G A- ~ if (yAJ SA r 1)0 l3 l~)
(5~ I- 3--=r1 ~ (0
- --shy_ - shy
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
I
- I
45 Solve each problem The figures are not drawn to scale Area of shaded region = _
A ~ AD - Ao
1 A - ~ -Ifz
_ 1(10)2shy20 em
I dO n) ~Z-JIshy
46 Area of shaded region = __
A=- Ao - AoT A ~--nrZ 50 em A- 15u So) -rrCs-)2
l r--- 50 em ~
47 Solve each problem The figures are not drawn to scale Area of shaded region = _
1 em A TI--R-- lTY2
A=- (~)~ IT(S)7
A-z- qcIT - 2S-i
(A Lrn)1 1
~
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen
48 Area of shaded region = _ _
3cm
49 Solve each problem The figures are not drawn to scale Area of shaded region = _ tl 1J LA 3uo 1( - ~ b Y)
ct( 1shyA ~6 If() - ( 1 Y- )
50 Area of shaded region =_ _
- tl 2 1 lA ~ 3~o-n-r - )- () h
A ~ TrO5J-- ~(Ity- )
A ~ ~ ())5Tr) - yen