AnswersMathematical Models with Applications - MA4072 CRArea and Perimeter in Context

Area and Perimeter in Context Answers

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Find the perimeter of the right triangle. If necessary, round to the nearest tenth.

Question illustration
A
13 in.
B
169 in.
C
60 in.
D
30 in.
2
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How do you distinguish between problems requiring area formulas and problems requiring perimeter formulas?

A
area - space inside a figureperimeter - distance around figure
B
area - distance around figureperimeter - space inside a figure
C
area - twice the width plus twice the length perimeter - length times width
D
area - the sum of all sidesperimeter - 2 times the diagonal of the figure
3

Find the perimeter of the right triangle. If necessary, round to the nearest tenth.

Question illustration
A
28 in.
B
32.6 in.
C
56 in.
D
14.6 in.
4

You want to build a fence around your triangular pool. How many meters of fence will you need? If necessary, round to the nearest tenth.

Question illustration
A
35.5 m
B
7.5 m
C
56 m
D
97.5 m
5

You live in a big house. The master bathroom is 12 by 20 feet. Calculate the area of your bathroom.

A
100 sq. ft
B
240 sq. ft
C
180 sq. ft
D
170 sq. ft
6

Find the area of the right triangle. If necessary, round to the nearest tenth.

Question illustration
A
20 yards squared
B
150 yards squared
C
60 yards squared
D
300 yards squared
7

You live in a big apartment. The bedroom is 15 by 20 feet. Calculate the area of your bedroom.

A
100 sq. ft
B
300 sq. ft
C
180 sq. ft
D
70 sq. ft
8

Find the area of the right triangle. If necessary, round to the nearest tenth.

Question illustration
A
15.6 meters squared
B
70.2 meters squared
C
42.6 meters squared
D
243 meters squared
9

Find the perimeter of the right triangle. If necessary, round to the nearest tenth.

Question illustration
A
12 yd
B
36 yd
C
54 yd
D
144 yd
10

A stop sign is in the shape of a regular octagon. A regular octagon can be created using eight triangles of equal area. One triangle that makes up the stop sign has a base of 15 inches and a height of 18 inches. Calculate the area of the stop sign.

A
1000 sq. in
B
1080 sq. in
C
980 sq.in
D
1200 sq. in
11

Find the perimeter of the right triangle. If necessary, round to the nearest tenth.

Question illustration
A
13 in.
B
169 in.
C
60 in.
D
30 in.
12

The front wall of your shed is in the shape of a trapezoid. The bottom measures 22 feet, the top measures 20 feet, and the height is 10 feet. Calculate the area of the front wall of your shed.

A
160 sq. ft
B
156 sq. ft
C
172 sq. ft
D
210 sq. ft
13

Find the perimeter of the right triangle. If necessary, round to the nearest tenth.

Question illustration
A
91 in.
B
46.1 in.
C
19.1 in.
D
182 in.
14

The front wall of your shed is in the shape of a trapezoid. The bottom measures 12 feet, the top measures 10 feet, and the height is 6 feet. Calculate the area of the front wall of your shed.

A
60 sq. ft
B
56 sq. ft
C
72 sq. ft
D
66 sq. ft
15

Find the area of the right triangle. If necessary, round to the nearest tenth.

Question illustration
A
75 meters squared
B
15 meters squared
C
43 meters squared
D
150 meters squared
16

The area of a triangular-shaped mat is 18 square feet and the base is 3 feet. Find the height

A
12 ft
B
20 ft
C
24 ft
D
30 ft
17

Find the area of right triangle. If necessary, round to the nearest tenth.

Question illustration
A
8 yards squared
B
24 yards squared
C
48 yards squared
D
64 yards squared
18

A stop sign is in the shape of a regular octagon. A regular octagon can be created using eight triangles of equal area. One triangle that makes up the stop sign has a base of 20 inches and a height of 24 inches. Calculate the area of the stop sign.

A
1400 sq. in
B
1920 sq. in
C
1980 sq.in
D
1700 sq. in

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