Scale Drawings and Area Answers

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Beth enlarged the triangle below by a scale of 5. She found the area of the enlarged triangle. Her work is shown below. What was Beth’s error?

Question illustration
A
She should have divided by 5.
Option A
B
She should have divided by .
Option B
C
She should have multiplied by 5.
Option C
D
She should have multiplied by .
Option D
2
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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
3

A model of a rectangular patio at a landscaping business will be enlarged by a scale factor of 2 when it is installed in a customer’s back yard. The area of the new enlarged patio will be 160 square feet. Which is the area of the landscaper’s model?

A
10 square feet
B
20 square feet
C
40 square feet
D
80 square feet
4

The scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actual garden. What is the area of the actual garden?

A
6
Option A
B
42
Option B
C
252
Option C
D
294
Option D
5

The rectangle below has been enlarged by a scale of 3.5. [Not drawn to scale]What is the area of the enlarged rectangle?

Question illustration
A
48 square units
B
168 square units
C
336 square units
D
588 square units
6

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
7

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
8

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
9

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
10

The area of the scale model of a garden is 15 square feet. The scale model is enlarged by a scale factor of 3 to create the actual garden. Which expression finds the area of the actual garden?

A
StartFraction 15 over 3 squared EndFraction
Option A
B
StartFraction 15 over 3 EndFraction
Option B
C
15 times 3
Option C
D
15 times 3 squared
Option D

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