Section 8.2 - Problems Involving Composite Shapes

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| By Seixeiroda

Seixeiroda

Community Contributor

Quizzes Created: 41 | Total Attempts: 23,734

Questions: 10 | Attempts: 404 | Updated: Aug 18, 2023

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Section 8.2 - Problems Involving Composite Shapes - Quiz

Complete the following questions.

Questions and Answers

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
Correct Answer
A. 23.11 cm^2
2.

What is the perimeter of the figure?
- A.
  
  60.4 cm
- B.
  
  77 cm
- C.
  
  79.2 cm
- D.
  
  116.4 cm
Correct Answer
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
Correct Answer
C. 329.05 mm^2
4.

What is the area of the regular polygon?
- A.
  
  1430 m^2
- B.
  
  1716 m^2
- C.
  
  3432 m^2
- D.
  
  3588 m^2
Correct Answer
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
Correct Answer
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
Correct Answer
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
Correct Answer
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
Correct Answer
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.

The stop sign is a regular polygon. What is the area of this sign?
- A.
  
  2925 cm^2
- B.
  
  3900 cm^2
- C.
  
  5850 cm^2
- D.
  
  7800 cm^2
Correct Answer
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
Correct Answer
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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