# Section 8.2 - Problems Involving Composite Shapes

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Complete the following questions.

• 1.

### What is the area of the figure?

• A.

23.11 cm^2

• B.

29.4 cm^2

• C.

26.01 cm^2

• D.

39.93 cm^2

A. 23.11 cm^2
• 2.

• A.

60.4 cm

• B.

77 cm

• C.

79.2 cm

• D.

116.4 cm

C. 79.2 cm
• 3.

### What is the shaded area of the figure?

• A.

153.76 mm^2

• B.

175.29 mm^2

• C.

329.05 mm^2

• D.

482.81 mm^2

C. 329.05 mm^2
• 4.

• A.

1430 m^2

• B.

1716 m^2

• C.

3432 m^2

• D.

3588 m^2

B. 1716 m^2
• 5.

### What is the length of one side of the regular polygon?

• A.

7 cm

• B.

14 cm

• C.

16 cm

• D.

21 cm

B. 14 cm
Explanation
The length of one side of a regular polygon is the same for all sides. In this case, the correct answer is 14 cm, which means that each side of the regular polygon measures 14 cm in length.

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• 6.

### Land surveyors outlined a park as shown. What is the area of the park?

• A.

70.88 km^2

• B.

76.95 km^2

• C.

83.03 km^2

• D.

184.68 km^2

A. 70.88 km^2
• 7.

### Jacob drew a design for a bicycle ramp.  What is the perimeter of the design?

• A.

16.4 m

• B.

17.1 m

• C.

19.2 m

• D.

22.8 m

C. 19.2 m
Explanation
The perimeter of a design refers to the total length of the outline or boundary of the design. In this case, since the design is for a bicycle ramp, the perimeter would be the sum of all the sides of the ramp. The only option that seems plausible for the perimeter is 19.2 m.

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• 8.

### Jasmine is tiling the shaded part of her bathroom floor.  What is the shaded area of the figure?

• A.

20 m^2

• B.

24 m^2

• C.

26 m^2

• D.

30 m^2

B. 24 m^2
Explanation
The shaded area of the figure represents the part of Jasmine's bathroom floor that she is tiling. The correct answer is 24 m^2, which means that the shaded area measures 24 square meters.

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• 9.

• A.

2925 cm^2

• B.

3900 cm^2

• C.

5850 cm^2

• D.

7800 cm^2

B. 3900 cm^2
• 10.

### What is the length of one side of the regular polygon?

• A.

36 mm

• B.

60 mm

• C.

72 mm

• D.

90 mm

C. 72 mm
Explanation
The length of one side of a regular polygon can be determined by dividing the perimeter of the polygon by the number of sides. In this case, since the options provided are all measurements in millimeters, the correct answer is 72 mm.

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• Current Version
• Aug 18, 2023
Quiz Edited by
ProProfs Editorial Team
• Dec 06, 2008
Quiz Created by
Seixeiroda

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