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Worksheets

Composite Shapes

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What is the area of this composite shape?

a)

14 in2

b)

68 in2

c)

36 in2

d)

24 in2

2.

What is the area of the shaded region?

a)

20 sq cm

b)

4 sq cm

c)

30 sq cm

d)

24 sq cm

3.

Find the area

a)

41

b)

45

c)

44

d)

43

4.

A composite shape is made from a triangle, rectangle, and semicircle. Kylie completes the following computations to solve for area. Where did Kylie make an error in the computation?

(Click on your selection)

5.

Find the area of the figure shown.

a)

34 units2

b)

960 units2

c)

220 units2

d)

480 units2

6.

A composite shape is made from a trapezoid and square. Cristina completes the following computation to solve for area. Specify where Cristina made an error.

(Click on your selection)

7.

Find the area of the shaded region: 

a)

350 cm2

b)

137.5 cm2

c)

212.5 cm2

d)

484.2 cm2

8.

What is the area of the shaded region?

a)

14 m2

b)

120 m2

c)

106 m2

d)

134 m2

9.
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
10.

Find the value of "x".

a)

5

b)

90

c)

25

d)

10

11.

What is the perimeter of this shape?

a)

200 mm

b)

210 mm

c)

150 mm

d)

65 mm

12.

The manager of an apartment complex will install new carpeting in a studio apartment. The floor plan is shown at the right. What is the total area that needs to be carpeted?

a)

60 ft2

b)

375 ft2

c)

342.5 ft2

d)

250 ft2

13.

The diagram gives the dimensions of a swimming pool. If a cover is needed for the pool, what will be the approximate area of the cover? (round to the nearest hundredth)

a)

720 ft2

b)

592.77 ft2

c)

211.06 ft2

d)

465.53 ft2

14.

Your local community center is looking to install new windows in their theatre. What is the area of the window shown? (round answer to the nearest hundredth)

a)

2,236.94 in2

b)

508.94 in2

c)

1,219.06 in2

d)

3,763.75 in2

15.

Find the perimeter of this figure

a)

15.7in

b)

55.7in

c)

30.7in

d)

40.7in

16.

What is the area of the figure shown?

a)

16.5 sq. un.

b)

14 sq. un

c)

17 sq. un.

d)

19.5 sq. un.

17.

What is the area of the figure shown?

a)

40 sq. cm

b)

80 sq. cm

c)

116 sq. cm

d)

65.5 sq. cm

18.

The flag of Ohio is the only state flag that is not in the shape of a rectangle. What is the perimeter of this Ohio flag?

a)

16 ft

b)

14.5 ft

c)

15 ft

d)

12 ft

19.

What is the area of this shape?

a)

108 cm2

b)

60 cm2

c)

432 cm2

d)

216 cm2

20.

Find the Perimeter

a)

74 in

b)

69 in

c)

82 in

d)

67 in