AnswersMathematical Models with Applications - MA4072 CRPerimeter of Composite Figures

Perimeter of Composite Figures Answers

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1
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Calculate the perimeter of the figure shown above:

Question illustration
A
25 ft
B
50 ft
C
10 ft
D
60 ft
2
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The perimeter of a rectangle is 72 centimeters. The base is 3 times the height. What are the dimensions of the rectangle?

A
h = 9cm, b = 30 cm
B
h = 19 cm, b = 10 cm
C
h = 9 cm, b = 27 cm
D
h = 10 cm, b = 15 cm
3

You are planning a deck along two sides of a pool. The deck is to have a total perimeter of 124 feet. The diagram, which is not drawn to scale, has divided the deck into three sections. What are the dimensions of each section?

Question illustration
A
section 1: 15 ft x 3 ft section 2: 3 ft x 3 ft section 3: 10ft x 3 ft
B
section 1: 16 ft x 6 ft section 2: 6 ft x 6 ft section 3: 18ft x 6 ft
C
section 1: 18 ft x 8 ft section 2: 8 ft x 8 ft section 3: 12ft x 8 ft
D
section 1: 19 ft x 10 ft section 2: 10 ft x 10 ft section 3: 23ft x 10 ft
4

The figure below is painted on the street. It consists of a rectangle and an isosceles triangle. What is the perimeter of the figure?

Question illustration
A
34 m
B
44 m
C
62 m
D
72 in.
5

Find the perimeter of the polygon.

Question illustration
A
40 cm
B
34 cm
C
28 cm
D
39 cm
6

When calculating the circumference of a circle, sometimes the radius is given instead of the diameter. What is the relationship between radius and diameter?

A
radius is twice the diameter
B
diameter is half the radius
C
diameter is twice the radius
D
no relationship, can't find circumference with radius
7

Find the perimeter of the figure shown above.

Question illustration
A
50 cm
B
64 cm
C
30 cm
D
60 cm
8

When finding the perimeter of an equilateral triangle, if one side is known, can you find the total perimeter and why or why not?

A
yes, angles are equal
B
yes, sides are equal
C
no, sides are not equal
D
angles are not equal
9

The perimeter of a rectangle is 60 centimeters. The base is 2 times the height. What are the dimensions of the rectangle?

A
h = 9cm, b = 18 cm
B
h = 19 cm, b = 38 cm
C
h = 10 cm, b = 20 cm
D
h = 10 cm, b = 15 cm
10

Find the perimeter of the figure shown above.

Question illustration
A
40 cm
B
60 cm
C
52 cm
D
75 cm

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