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AREA OF POLYGONS
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Area of Polygons
Area Word
Problems
Shaded & Combinatio
n
Regular Polygons
100 100 200 400
100 200 200 400
100 200 200 400
300 300 300 500
300 300 300 600
1.
32 mm
15 mm
What is 240mm2?
32 mm
15 mm
A = ½ (32)(15)
2.
12 in
6 in
22 in
8 in
What is 102 in2?
12 in
6 in
22 in
8 in
A = ½ (6)(22+12)
3.
26 in
What is 169 in2?
26 in
r = 13
A = 132
4. 15 ft
24 ft
What is 216 ft2 ?
15 ft
24 ft12 ft
12 ft
9 ft
9 ft
A = ½ (18)(24)
5.
6 cm
7 cm
What is 126 cm2 ?
6 cm
7 cm P = 6(7) = 42
A = ½ (42) (6)
6. The height of a trapezoid is 5cm and the bases are 7cm and 13cm. Find the area.
6. The height of a trapezoid is 5cm and the bases are 7cm and 13cm. Find the area.
A = ½ (5) (7 + 13)
What is 50 cm2?
7. A triangle has an area of 72 mm. If the height is 8mm, find the base.
7. A triangle has an area of 72 mm. If the height is 8mm, find the base.
A = ½ b h
72 = ½ (8) h
72 = 4 h
h = 18
What is 18mm?
8. Find the area of a regular dodecagon with a side 11 ft and an apothem of 4.5 ft.
8. Find the area of a regular dodecagon with a side 11 ft and an apothem of 4.5 ft.
P = 12(11) A = ½ P a
P = 132 A = ½ (132) (4.5)
A = 297
What is 297ft2?
9. Find the Area of a Rhombus with sides 26cm and a diagonal 48cm long.
What is 480 cm2?9. Find the Area of a Rhombus with sides 26cm and a diagonal 48cm long.26 ft
48 cm
10
10
24
24
A = ½ (48)(20)
10. Find the area of a Rhombus with perimeter 100m and a diagonal of 30m.
What is 600m2?10. Find the area of a Rhombus with perimeter 100m and a diagonal of 30 m. 25 ft
30m
20
20
15
15
A = ½ (30)(40)
11.
8 km 8 km
22 km
18 k
m
9 km
What is 324 km2 ?
8 km 8 km
22 km
18 k
m
9 km
(18)(22) = 396 (8)(9) = 72
396 – 72
12.
18 ft
14 ft
What is 126 cm2 ?
18 ft
14 ft
(14)(18) = 252½ (14)(18) = 126
252 - 126
14 ft
18 ft
13.
15 in
7 in
What is 176 in2 ?
15 in
7 in
152 = 22572 = 49
225 - 49
14.
9 in
10 in
2 in
6 in3 in
5 in
4 in
What is 102 in2 ?
9 in
10 in
2 in
6 in3 in
5 in4
in
(10)(14) = 140 (2)(9) = 18(4)(5) = 20
140 – 18 – 20
14
15.
6 m
4 m
3 m
5 m
9 m
12 m
What is 102 m2 ?
6 m
4 m
3 m
5 m
9 m
12 m
16.
8 cm3
What is 384 cm2 ?
8 cm330
60
long = short = shortshort = 8
338 3
hyp long
short8
16
Apothem = 8Perimeter = 6(16) = 96Area = ½ (96) (8 )3
3
3
17.
3 ft3
What is 27 ft2 ?
3
3
30
60
hyp
long
short
6
Apothem = 3Perimeter = 3(6 ) = 18 Area = ½ (18 )(3)
3
long = short3 = shortshort = 3
33
3 ft
3
3
33
3
18.
24 in
What is 864 in2 ?24
in 12 330
60
hyp = 2 * short 24 = 2 * shortshort = 12
hyp long
short12
24
Apothem = 12Perimeter = 6(24) = 144Area = ½ (144) (12 )3
3
long = shortlong = 12
33
3
19.
15 m
What is 225 m2 ?
15 m
5
30
60hyp
long
short
30
Apothem = 5Perimeter = 3(30) = 90 Area = ½ (90)(5 )
long = short 15 = short
short = 5
33
33
3 33
3
3
20.
8 mi
What is 128 mi2 ?8 m
i
4
45
hyp
leg
8
Apothem = 4Perimeter = 4(8 ) = 32 Area = ½ (32 )(4 ) = 64 * 2
hyp = short 8 = short
short = 4
leg45
4
2
2
2
2222
2
22
222
