Changing a Scale — Unit test Answers

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The triangle below has been reduced by a scale of 0.4. What is the area of the reduced triangle?

Question illustration
A
24 centimeters squared
Option A
B
60 centimeters squared
Option B
C
75 centimeters squared
Option C
D
375 centimeters squared
Option D
26

Brianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0.2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural?

A
3.6 inches
B
18.2 inches
C
60 inches
D
90 inches
27

Parker is planning to build a playhouse for his sister.The scaled model below gives the reduced measures for width and height.Not drawn to scaleThe yard space is large enough to have a playhouse that has a width of 3.5 meters. If Parker wants to keep the playhouse in proportion to the model, what cross multiplication of the proportion should he use to find the height?

Question illustration
A
(3.5) (10) = 3.5 x
Option A
B
(3.5) (22) = 3.5 x
Option B
C
(10) (3.5) = 22 x
Option C
D
(1) (22) = 3.5 x
Option D
28

Fiona enlarges a parallelogram that has a perimeter of 17 meters. Not drawn to scaleWhat is the perimeter of the enlarged parallelogram?

Question illustration
A
30 meters
B
73.5 meters
C
102 meters
D
105 meters
29

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
30

Luka was given an enlargement of a wooden block. Which statements about the original figure and its enlargement are true? Select three options.

Question illustration
A
The scale factor of this enlargement is 2.
B
The scale factor of this enlargement is .
Option B
C
The length of side A can be found by multiplying 24 mm by the scale factor.
D
The length of side A can be found by dividing 24 mm by the scale factor.
E
The length of side A is 12 mm.
31

Consider the original triangle and the scale drawing enlargement. Figures not drawn to scale.What is the scale factor?

Question illustration
A
2
B
3
C
4
D
8
32

The square represents a scale model that was created by using a factor of 4. Which is true of the measures of the sides of the original square?

Question illustration
A
Each side of the original square is the length of each side of the scale model.
Option A
B
Each side of the original square is 4 times the length of each side of the scale model.
C
Each side of the original square is the same length as each side of the scale model.
D
Each side of the original square is 4 feet less than the scale model.
33

Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not drawn to scaleThe yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool?

Question illustration
A
4.5 feet
B
5 feet
C
6 feet
D
6.75 feet
34

The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24 meters. Not drawn to scaleWhat is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.

Question illustration
A
5 meters
B
8 meters
C
10 meters
D
12 meters

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