Scale Drawings and Area Answers

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4

three

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
7

The scale model of a rectangular patio will be enlarged by a scale factor of 2.5 to create the actual patio. The actual patio will be 15 feet by 20 feet. Which is the area of the scale model?

A
48 square feet
B
60 square feet
C
120 square feet
D
300 square feet
8

A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide. What is the area of the reduced carpet?

A
6 square feet
B
12 square feet
C
24 square feet
D
48 square feet
11

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3. Which statements apply to the enlargements? Select three options.

Question illustration
A
The area of the first enlargement is 72 square inches.
B
The area of the second enlargement is 1,944 square inches.
C
The area of the second enlargement is times the original area.
Option C
D
The area of the second enlargement is 3 times the area of the first enlargement.
E
The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.
12

A rectangle is reduced by a scale factor of .Which choices show the ratio of the area of the smaller rectangle to the area of the larger rectangle? Select three options.

Question illustration
A
StartFraction 4 over 16 EndFraction
Option A
B
(StartFraction 4 over 16 EndFraction) squared
Option B
C
StartFraction 12 over 192 EndFraction
Option C
D
StartFraction 4 squared over 12 squared EndFraction
Option D
E
(StartFraction 3 over 12 EndFraction squared
Option E
13

The dimensions of a rectangular dining room are 18 feet by 16 feet. If a scale factor of is used to make a scale model of the dining room, what is the area of the dining room in the scale model?

Question illustration
A
18 square feet
B
36 square feet
C
48 square feet
D
72 square feet
14

A scale model of a rectangular building lot measures 7 feet by 5 feet. If the actual house will be built using a scale factor of 12, what is the area of the actual building lot?

A
35 square feet
B
420 square feet
C
840 square feet
D
5,040 square feet
15

The trapezoid below has been enlarged by a scale of 1.5. What is the area of the enlarged trapezoid?

Question illustration
A
54 in.²
B
81 in.²
C
576 in.²
D
864 in.²

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