Section 8.2 - Problems Involving Composite Shapes

1)

What is the perimeter of the figure?

60.4 cm

77 cm

79.2 cm

116.4 cm

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Explanation

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2)

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

20 m^2

24 m^2

26 m^2

30 m^2

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.

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.

3)

What is the area of the regular polygon?

1430 m^2

1716 m^2

3432 m^2

3588 m^2

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Explanation

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4)

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

70.88 km^2

76.95 km^2

83.03 km^2

184.68 km^2

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Explanation

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5)

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

7 cm

14 cm

16 cm

21 cm

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.

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.

6)

What is the area of the figure?

23.11 cm^2

29.4 cm^2

26.01 cm^2

39.93 cm^2

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Explanation

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7)

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

16.4 m

17.1 m

19.2 m

22.8 m

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.

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.

8)

What is the shaded area of the figure?

153.76 mm^2

175.29 mm^2

329.05 mm^2

482.81 mm^2

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Explanation

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9)

The stop sign is a regular polygon. What is the area of this sign?

2925 cm^2

3900 cm^2

5850 cm^2

7800 cm^2

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Explanation

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10)

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

36 mm

60 mm

72 mm

90 mm

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.

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.