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Composite and Shaded Area Review

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

Calculate the area of this shape. Round to the nearest hundredth if necessary.

a)

16.28 in2

b)

39.96 in2

c)

39.96

d)

47.52 in2

2.

Find the area of this shape. Round to the nearest hundredth if necessary. Use the pi button on your calculator.

a)

760.27 m2

b)

380.13 m2

c)

190.07 m2

d)

34.56 m2

3.

Find the area of this shape. Round to the nearest hundredth if necessary.

a)

5.2 ft.2

b)

42.9 ft.2

c)

142.73 ft.2

d)

285.45 ft.2

4.

What is the height of this trapezoid?

a)

7.5 mm

b)

8.5 mm

c)

9.5 mm

d)

15 mm

5.

Use the height from the previous question to calculate the area of this shape. Round to the nearest hundredth if necessary.

a)

187 mm2

b)

88 mm2

c)

82.5 mm

d)

88 mm

e)

82.5 mm2

6.

Write an equation to solve for the radius in the following problem:


Find the diameter of a semicircle with an area of 76.97 square yards.

a)

76.97 = π r²

b)

76.97 = 2 π r

c)

76.97 = ½ π r²

7.

Solve: Find the diameter of a semicircle with an area of 76.97 square yards. Round to the nearest hundredth. Use the pi button on your calculator.

a)

24.5 yd

b)

7 yd

c)

9.9 yd

d)

14 yd

8.

A rectangle has an area of 104 cm2 and a width that measures 8 cm. Find the perimeter of the rectangle.

a)

42 cm2

b)

42 cm

c)

13 cm

d)

13 cm2

9.

What are the radii of the two semicircles in this image?


The side lengths of the parallelogram are 15 meters and 18 meters.

a)

big: 6 cm small: 7.5 cm

b)

big: 9 cm small: 6 cm

c)

big: 9 cm small: 7.5 cm

d)

big: 18 cm small: 15 cm

10.

Find the area of the figure below. Round your answers to the nearest hundredth, and use the pi button on your calculator.


The side lengths of the parallelogram are 15 meters and 18 meters.

a)

611.18 m2

b)

1904.73 m2

c)

701.18 m2

d)

395.59 m2

11.

How might you calculate the missing length of the rectangle in this figure?

a)

10.4 + 15.3 = length

b)

10.42 + b2 = 15.32

c)

10.42 + 15.32 = c2

d)

It looks like it's about 20 mm...

12.

Find the area of this figure. Round your answer to the nearest TENTH if necessary.

a)

159.1 mm2

b)

192.4 mm2

c)

288.6 mm2

d)

209.1 mm2

13.

Calculate the area of the shaded region.


Tip: The lengths of the triangle's base and height are 10.2 ft and 28 ft., respectively.

a)

387.4 ft. 2

b)

235.4 ft. 2

c)

295.6 ft. 2

d)

244.6 ft. 2

14.

What is the the length of the radius of ONE circle?

a)

r = 4.5 cm

b)

r = 9 cm

c)

r = 18 cm

d)

r = 4.2 cm

15.

Find the area of the shaded region. Round to the nearest tenth, and use the pi button on your calculator.

a)

63.6 cm 2

b)

69.5 cm 2

c)

98.4 cm 2

d)

34.8 cm 2