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Worksheets

Area and Perimeter and Complex Figures

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What is the perimeter of the following figure? (round your answer to the nearest hundredth)

a)

73.70 ft

b)

54.85 ft

c)

37.70 ft

d)

18.85 ft

2.

What is the area of the following figure? (round your answer to the nearest hundredth)

a)

329.10 ft2

b)

216 ft2

c)

668.39 ft2

d)

272.55 ft2

3.

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

4.

What is the formula for the area of a circle?

a)

A=2πr

b)

A=2πd

c)

A=πr2

d)

A=2πr2

5.

The figure is made up of a square and two semicircles. Find the perimeter.

a)

8 m

b)

41 m

c)

23 m

d)

16 m

6.

Find the area of the composite figure:

a)

40 ft2

b)

9 ft2

c)

49 ft2

d)

61 ft2

7.

Find the perimeter of the semicircle. Round your answer to the nearest hundredth, if needed.

a)

23.13 m

b)

28.26 m

c)

18.26 m

d)

37.26 m

8.

What is the formula for the area of a trapezoid?

a)

A=bh

b)

A=1/2 bh

c)

A=1/2 (b1+b2) h

d)

A=πr2

9.

What is the circumference of the following shape? (use an exact value)

a)

14π mi

b)

7π mi

c)

49π mi

d)

43.98 mi

10.

What is the area of the following shape? (use an approximate value)

a)

21.99 mi

b)

43.98 mi

c)

153.94 mi

d)

615.75 mi

11.

What is the area of the following shape? (use an exact value)

a)

144π yd2

b)

6π yd2

c)

12π yd2

d)

36π yd2

12.

What is the area of the following shape?

a)

52.02 km

b)

26.01 km

c)

15.3 km

d)

7.65 km

13.

What is the area of the following shape? (use an exact value)

a)

14π cm2

b)

196π cm2

c)

98π cm2

d)

28π cm2

14.

What is the perimeter of the following shape? (use an approximate value)

a)

43.98 cm

b)

57.98 cm

c)

71.98 cm

d)

115.98 cm

15.

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

16.

What is the formula for the area of a parallelogram?

a)

A=bh

b)

A=1/2 bh

c)

A=1/2 (b1+b2) h

d)

A=πr2

17.

What is the formula for the area of a triangle?

a)

A=bh

b)

A=1/2 bh

c)

A=1/2 (b1+b2) h

d)

A=πr2

18.

What is the circumference of the following shape? (use an approximate value)

a)

452.39 yd

b)

18.85 yd

c)

37.70 yd

d)

113.10 yd

19.

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

20.

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