Unit Test — Unit test Answers

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The area of the scale model of a playground is 6 square yards. The scale model is enlarged by a scale factor of 3 to create the actual playground. What is the area of the actual playground?

A
18 square yards
B
54 square yards
C
108 square yards
D
324 square yards
9

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
10

Devon made a scale drawing of a triangle. He used a scale factor of to draw the new triangle. How does each side of the new triangle compare to the original?

Question illustration
A
Each side of the new triangle is the length of each side of the original
Option A
B
Each side of the new triangle is the length of each side of the original
Option B
C
Each side of the new triangle is 4 times the length of each side of the original
D
Each side of the new triangle is 12 times the length of each side of the original
11

The scale drawing of a rectangular room will be enlarged by a scale factor of 4 to create the actual room. The actual area of the room will be 150 square feet. Which expression finds the area of the scale drawing?

A
StartFraction 4 squared over 150 squared EndFraction
Option A
B
StartFraction 4 squared over 150 EndFraction
Option B
C
StartFraction 150 over 4 squared EndFraction
Option C
D
StartFraction 150 over 4 EndFraction
Option D
12

Michel uses the scale drawing and the scale factor to enlarge a square that has a side length of 12 in.Which proportion could Michel use to solve the side length, x, of the enlarged square?

Question illustration
A
StartFraction 3 inches over 2 meters EndFraction = StartFraction x meters over 12 inches EndFraction
Option A
B
StartFraction x inches over 2 meters EndFraction = StartFraction 3 inches over 12 meters EndFraction
Option B
C
StartFraction 3 inches over x meters EndFraction = StartFraction 2 meters over 12 inches EndFraction
Option C
D
StartFraction 3 inches over 2 meters EndFraction = StartFraction 12 inches over x meters EndFraction
Option D
15

Gigi makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes.Which shows the correct dimensions of the rectangle in both scales?

Question illustration
A
Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft
B
Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft
C
Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft
D
Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft
16

Which is the scale factor proportion for the enlargement shown? Not drawn to scale

Question illustration
A
StartFraction 1 over x EndFraction = StartFraction 2 over 6 EndFraction
Option A
B
StartFraction 1 over x EndFraction = StartFraction 6 over 2 EndFraction
Option B
C
StartFraction 1 over 6 EndFraction = StartFraction 2 over x EndFraction
Option C
D
One-half = StartFraction 6 over x EndFraction
Option D
18

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

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