AnswersSSCR 26 Math Essentials AScale Factor

Changing a Scale Answers

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The following show a change of scale made by an architect in one of his drawings. Which is the change in scale factor from the old scale to the new scale?

Question illustration
1
1 to 8
2
2 to 8
8
8 to 1
8
8 to 2
2
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Guina made a scale drawing of a window she is making for her house.Which proportion could Guina use to find the length of side B?

Question illustration
A
StartFraction 1 centimeters over 3 inches EndFraction = StartFraction 3 centimeters over x centimeters EndFraction
Option A
B
StartFraction 3 centimeters over 1 centimeter EndFraction = StartFraction x centimeters over 3 centimeters EndFraction
Option B
C
StartFraction 1 centimeter over 3 inches EndFraction = StartFraction 3 centimeters over x inches EndFraction
Option C
D
StartFraction 3 inches over 3 centimeters EndFraction = StartFraction x inches over 1 centimeter
Option D
3

Sienna planned a trapezoid-shaped garden, as shown in the drawing below.She decides to change the length of the top of the trapezoid-shaped garden from 32 ft to 24 ft. Which expression finds the change in the scale factor?

Question illustration
A
StartFraction 4 inches over 24 feet EndFraction
Option A
B
StartFraction 32 feet over 4 inches EndFraction
Option B
C
StartFraction 24 feet over 32 feet EndFraction
Option C
D
StartFraction 32 feet over 24 feet EndFraction
Option D
4

Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. He originally planned for the length of the pool to be 40 m but decided to change it to 32 m. If the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?

O
One cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
O
One cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.
O
One cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.
O
One cm represented 4 m in the first scale, but now 1 cm represents 5 m in the second scale.
5

Bianca makes a scale drawing of a rectangular garden. The length is 9 in., and the width is 6 in. Bianca changes the scale of the drawing from 1 in. : 3 ft to 1 in. : 4 ft. Which statement about the dimensions of the garden is true?

T
The width of the garden under the new scale is 24 ft.
T
The length of the garden under the new scale is 12 ft.
T
The length of the garden under the old scale is 36 ft.
T
The width of the garden under the old scale is 27 ft.
6

three

Question illustration
L
Length A of the book’s garden is 18 ft.
L
Length A of Rasheeda’s garden is 27 ft.
L
Length B of the book’s garden is 12 ft.
L
Length B of Rasheeda’s garden is 6 ft.
L
Length A of the book’s garden is 9 ft longer than length A of Rasheeda’s garden.
L
Length B of the book’s garden is 3 ft shorter than length B of Rasheeda’s garden.
7

Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.Which is Zelie’s error?

Question illustration
A
Zelie should have divided both numbers by 14.
B
Zelie should have written the ratio as .
Option B
C
Zelie should have written the ratio as .
Option C
D
Zelie should have subtracted 14 from both numbers.
8

Imogen sees a design for a garden in a magazine. She changes the scale because she wants a smaller garden. The figure below shows both scales and a scale drawing of the yardWhich statements about the gardens are true? Select three options.

Question illustration
A
Length A of the magazine’s garden is 28 ft.
B
Length A of Imogen’s garden is 28 ft.
C
Length B of the magazine’s garden is 17.5 ft.
D
Length B of Imogen’s garden is 18 ft.
E
Length C of the magazine’s garden is 35 ft.
F
Length C of Imogen’s garden is 20 ft.
9

Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. He originally planned for the length of the pool to be 40 m but decided to change it to 32 m. If the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?

A
One cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
B
One cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.
C
One cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.
D
One cm represented 4 m in the first scale, but now 1 cm represents 5 m in the second scale.
10

Eveline made a scale drawing of a patio she is planning to build.Which proportion could Eveline use to find the length of side A?

Question illustration
A
StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 13 centimeters over x meters EndFraction
Option A
B
StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction
Option B
C
StartFraction 12 centimeters over 2.5 meters EndFraction = StartFraction x centimeters over 1 meter EndFraction
Option C
D
StartFraction 1 centimeter over 12 meters EndFraction = StartFraction 2.5 centimeters over x meters EndFraction
Option D

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