Area of a Triangle - Miss Stasiakmsstasiak.weebly.com/uploads/6/0/0/3/60033153/6th_finals.pdf · 2018-09-01 · Super Teacher Worksheets - Area of a Triangle To find the area of a

Name:

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Area of a Triangle To find the area of a triangle, use the formula area= x base x height or A= x b x h.1

212

example:

70 mm

4 cm base = 70 mm (7 cm)

height = 4 cm

12A= x b x h

A= 14 cm2

A= x 28 cm212

A= x 7 cm x 4 cm12

Find the area of each triangle. Some triangles have mixed units.

a.

22.3

4 m

20.2 m

area =

b.

450 mm

38.6 cm

area =

24

cm

3 4 48.4 cm

area =

c.

d.

12 mm12

15.4 mm

area =

e.

3.75 m

420 cm

area =

f.

820 m

1 km1

5

area =

g.

area =

h.

area =

i.

area =

Find the area of each triangle using the base and height measurements.

b = 75.33 meters h = 68 meters

b = 47.2 centimeters h = 595 millimeters

b = .875 meters h = 92 centimeters


Area of a Triangle To find the area of a triangle, use the formula area= x base x height or A= x b x h.1

212

example:

70 mm

4 cm base = 70 mm (7 cm)

height = 4 cm

12A= x b x h

A= 14 cm2

A= x 28 cm212

A= x 7 cm x 4 cm12

Find the area of each triangle. Some triangles have mixed units.

a.

22.3

4 m

20.2 m

area =

b.

450 mm

38.6 cm

area =

24

cm

3 4 48.4 cm

area =

c.

d.

12 mm12

15.4 mm

area =

e.

3.75 m

420 cm

area =

f.

820 m

1 km1

5

area =

g.

area =

h.

area =

i.

area =


b = 75.33 meters h = 68 meters

b = 47.2 centimeters h = 595 millimeters

b = .875 meters h = 92 centimeters

ANSWER KEY

225.634 m2 868.5 cm2 598.95 cm2

96.25 mm2 or 78,750 cm2 or 492,000 m2

or 86,850 mm2

7.875 m2 0.492 km2

2,561.22 m2 or 140,420 mm21,404.2 cm2 0.4025 m2 or 4,025 cm2

Name:


Area of a Triangle Find the area of each triangle.

a.

6.2 m

10.5 m

area =

b.

14.3

mm

12 mm

area =

10

cm

1 2 22 cm

area =

c.

d.

6.4 km

6.4 km

area =

e.

14 cm

25 cm1

2

area =

f.

5.6 m

8.3 m

area =

g.

45 mm

30 mm

area =

h.

17.2 m

9.5 m

area =

i.

16 cm12

16 cm

area =

j.

area =

k.

area =

l.

area =


b = 24 centimeters h = 17 centimeters

b = 40.5 kilometers h = 10 kilometers

b = 28.3 meters h = 18.6 meters



a.

6.2 m

10.5 m

area =

b.

14.3

mm

12 mm

area =

10

cm

1 2 22 cm

area =

c.

d.

6.4 km

6.4 km

area =

e.

14 cm

25 cm1

2

area =

f.

5.6 m

8.3 m

area =

g.

45 mm

30 mm

area =

h.

17.2 m

9.5 m

area =

i.

16 cm12

16 cm

area =

j.

area =

k.

area =

l.

area =





ANSWER KEY

32.55 m2 85.8 mm2 115.5 cm2

20.48 km2 178.5 cm2 23.24 m2

675 mm2 81.7 m2 132 cm2

204 cm2 202.5 km2 263.19 m2

Name:



a.

6.2 m

10.5 m

area =

b.

14.3

mm

12 mm

area =

10

cm

1 2 22 cm

area =

c.

d.

6.4 km

6.4 km

area =

e.

14 cm

25 cm1

2

area =

f.

5.6 m

8.3 m

area =

g.

45 mm

30 mm

area =

h.

17.2 m

9.5 m

area =

i.

16 cm12

16 cm

area =

j.

area =

k.

area =

l.

area =







a.

6.2 m

10.5 m

area =

b.

14.3

mm

12 mm

area =

10

cm

1 2 22 cm

area =

c.

d.

6.4 km

6.4 km

area =

e.

14 cm

25 cm1

2

area =

f.

5.6 m

8.3 m

area =

g.

45 mm

30 mm

area =

h.

17.2 m

9.5 m

area =

i.

16 cm12

16 cm

area =

j.

area =

k.

area =

l.

area =





ANSWER KEY

32.55 m2 85.8 mm2 115.5 cm2

20.48 km2 178.5 cm2 23.24 m2

675 mm2 81.7 m2 132 cm2

204 cm2 202.5 km2 263.19 m2

Name:


Area of a Triangle

To find the area of a triangle, use the formula area= x base x height or A= x b x h.12

12

example:

7 cm

4 cm base = 7 cm

height = 4 cm

12A= x b x h

A= 14 cm2

A= x 28 cm212

A= x 7 cm x 4 cm12

Find the area of each triangle.

b.

20 c

m

22 cm

area =

5

mm

1 2

12 mm

area =

a. c.

4 m

6 m1

2

area =

d.

12.2 km

16.4 km

area =

e.

24 m

11.8 m

area =

f.

18 cm15

18 cm

area =

g.

area =

h.

area =

i.

area =


b = 37 millimeters h = 22 millimeters




Area of a Triangle

To find the area of a triangle, use the formula area= x base x height or A= x b x h.12

12

example:

7 cm

4 cm base = 7 cm

height = 4 cm

12A= x b x h

A= 14 cm2

A= x 28 cm212

A= x 7 cm x 4 cm12

Find the area of each triangle.

b.

20 c

m

22 cm

area =

5

mm

1 2

12 mm

area =

a. c.

4 m

6 m1

2

area =

d.

12.2 km

16.4 km

area =

e.

24 m

11.8 m

area =

f.

18 cm15

18 cm

area =

g.

area =

h.

area =

i.

area =


b = 37 millimeters h = 22 millimeters



ANSWER KEY

33 mm2 220 cm2 13.5 m2

100.04 km2 141.6 m2 163.8 cm2

407 mm2 625 km2 898.69 m2


Perimeter of a Polygon

Name:

Find the perimeter of each polygon.

a. 6 cm

7 cm

5 cm

6 cm

4 cm

5 cm4 cm

b.

24 km

32 km

51 kmc. 56 m

44m

28 m37 m

49 m

d. 8 mm8 mm

8 mm

5 mm5 mm

7 mm

7 mm

9 mm

e.

15.2

5 m

15.2

5 m

12 m

12 m

3.1 m 3.1 m

3.1 m 3.1 m22.05

m

22.05m

f.

1 km

12 km

12 km

12 km

14 km

14 km

34 km

Challenge Problems:

g.

10 m

m

?

?

10 mm

5 m

m

5 mm

h.

85 cm

107

cm

62 cm

107

cm

85 cm

85 cm

?

?

i.

7.5 m

3 m

3 m 1.5 m

5.5

m

0.5 m

?

?


Perimeter of a PolygonFind the perimeter of each polygon.

a. 6 cm

7 cm

5 cm

6 cm

4 cm

5 cm4 cm

b.

24 km

32 km

51 kmc. 56 m

44m

28 m37 m

49 m

d. 8 mm8 mm

8 mm

5 mm5 mm

7 mm

7 mm

9 mm

e.

15.2

5 m

15.2

5 m

12 m

12 m

3.1 m 3.1 m

3.1 m 3.1 m22.05

m

22.05m

f.

1 km

12 km

12 km

12 km

14 km

34 km

Challenge Problems:

g.

10 m

m

?

?

10 mm

5 m

m

5 mm

h.

85 cm

107

cm

62 cm

107

cm

85 cm

85 cm

?

?

i.

7.5 m

3 m

3 m 1.5 m

5.5

m

0.5 m

?

?

ANSWER KEY

37 cm 107 km 214 m

57 mm 111 m 3 km34

40 mm 678 cm 26 m

Name:


Area of a Rectangle

Find the area of each rectangle.

To find the area of a rectangle, use the formula length x width = area.This formula is often written as l x w = A.

The rectangle pictured here has a length of 10 cm and a width of 8 cm.l = 10 cmw = 8 cm10 cm x 8 cm = 80 cm2

Note that the area’s unit is written as cm2.This is said as “square centimeters” or “centimeters squared”.

10 cm

8 cm

a.

2.5 cm

0.25 cm

b.

7 1 2ft

12 12 ft

c.

1.8

km

2.0 km

d. 6 12 in.

e.

30.0 mm

3.5

mm f.

4 34m

i

5 mi

Challenge: Find the area of the polygon. All corners are 90°. Use the back if you need workspace.

0.6

m

0.4

m

2.4 m

0.4 m0.4 m

0.4 m

1.6

m

1.0

m


Area of a Rectangle

Find the area of each rectangle.

To find the area of a rectangle, use the formula length x width = area.This formula is often written as l x w = A.

The rectangle pictured here has a length of 10 cm and a width of 8 cm.l = 10 cmw = 8 cm10 cm x 8 cm = 80 cm2

Note that the area’s unit is written as cm2.This is said as “square centimeters” or “centimeters squared”.

10 cm

8 cm

a.

2.5 cm

0.25 cm

b.

7 1 2ft

12 12 ft

c.

1.8

km

2.0 km

d. 6 12 in.

e.

30.0 mm

3.5

mm f.

4 34m

i

5 mi

Challenge: Find the area of the polygon. All corners are 90°. Use the back if you need workspace.

0.6

m

0.4

m

2.4 m

0.4 m0.4 m

0.4 m

1.6

m

1.0

m

ANSWER KEY

0.625 cm2 93 34 in.2 3.6 km2

42 14 in.2 105 mm2 23 34 mi2

area of C = 0.4 x 0.4 = 0.16 m2

area of A = 2.4 x 1.6 = 3.84 m2

3.44 m2area of B = 1.0 x 0.4 = 0.40 m2

3.60 m2+

-

C A B


Perimeter of a House

Name:

BACK PORCH

KITCHEN

12 ft

9 ft

3 ft

9 f

t

5 f

t

14

ft

LIVING ROOM

18 ft

13 ft

9 f

t

2 f

t

BA

TH

RO

OM

5 ft

7 f

t

EN

TR

Y H

AL

L

6 ft

BEDROOM 1

12 ft

11

ft

DINING ROOM

12 ft

3 ft

2 f

t

6 ft

6 ft 6 ft6

ft

6 ft

COVERED PORCH

5 ft

1 ft

5 f

t

23 ft

16

ft

BEDROOM 2

8 ft2 f

t

2 ft

2 f

t

5 f

t

Below is a map of a house called a floor plan. On it are labeled the measurementsof the rooms found in the house. Use the floor plan to answer the questions.



Name:

1. What is the perimeter of the kitchen?

2. What is the perimeter of the bathroom?

3. What is the perimeter of the bedroom 1?

4. What is the perimeter of the dining room?

5. What is the perimeter of the covered porch?


7. What is the perimeter of the entry hall?

8. What is the perimeter of the living room?

9. What is the perimeter of the back porch?

*CHALLENGE* What is the perimeter ofthe outside of the house (including porches)?



1. What is the perimeter of the kitchen?

2. What is the perimeter of the bathroom?


4. What is the perimeter of the dining room?

5. What is the perimeter of the covered porch?


7. What is the perimeter of the entry hall?

8. What is the perimeter of the living room?

9. What is the perimeter of the back porch?

*CHALLENGE* What is the perimeter ofthe outside of the house (including porches)?

ANSWER KEY

52 ft

24 ft

46 ft

58 ft

78 ft

38 ft

34 ft

54 ft

46 ft

153 ft

Documents

Area of a Triangle - Miss Stasiakmsstasiak.weebly.com/uploads/6/0/0/3/60033153/6th_finals.pdf · 2018-09-01 · Super Teacher Worksheets - Area of a Triangle To find the area of a