AnswersFL-1205040-MJ Grade 7 Mathematics B -GFChanging a Scale

Changing a Scale Answers

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Rihanna planned a rectangular courtyard for a park and made a scale drawing using inches as the unit of measurement. She originally planned for the length of the actual courtyard to be 54 feet, but she decided to change it to 72 feet. If the length of the courtyard is 18 inches in her scale drawing, which statement about the change of scale is true?

A
One inch represented 1 foot in the first scale, but now 1 inch represents 4 feet in the second scale.
B
One inch represented 4 feet in the first scale, but now 1 inch represents 3 feet in the second scale.
C
One inch represented 54 feet in the first scale, but now 1 inch represents 72 feet in the second scale.
D
One inch represented 3 feet in the first scale, but now 1 inch now represents 4 feet in the second scale.
2
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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.
3

A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. Josh decides to make the house addition smaller, and he changes the scale of the drawing to 1 in. = 1.1 ft. What is the change in the scale factor from the old scale to the new scale?

A
One-third
Option A
B
Two-thirds
Option B
C
2.2
D
3
4

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.
5

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
6

Adenan makes a scale drawing of a rectangular flower box. The length is 5 in., and the width is 3 in. Adenan changes the scale of the drawing from 1 in. : 4 ft to 1 in. : 6 ft. Which statement about the dimensions of the flower box is true?

A
The length of the flower box under the new scale is 15 ft.
B
The length of the flower box under the old scale is 30 ft.
C
The width of the flower box under the old scale is 12 ft.
D
The width of the flower box under the new scale is 24 ft.
7

What is the change in the scale factor from the old scale to the new scale?

Question illustration
A
1 to 3
B
1 to 2.2
C
2.2 to 1
D
3 to 1
8

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.
9

Below is a scale drawing of a stage that Syla is designing.Using the scale 1 cm : 7 m, Syla calculated the width, or the shorter side of the stage, to be 35 m. She decides to change the scale to 1 cm : 10 m. What is the width of the new stage?

Question illustration
A
35 m
B
50 m
C
56 m
D
80 m
10

Missi designed a stained glass window and made a scale drawing using centimeters as the unit of measurement. She originally planned for the length of the window to be 44 in. but decided to change it to 48 in. If the length of the window in her scale drawing is 4 cm, which statement about the change of scale is true?

A
One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale.
B
One cm represented 44 in. in the first scale, but now 1 cm represents 48 in. in the second scale.
C
One cm represented 1 in. in the first scale, but now 1 cm represents 1 in. in the second scale.
D
One cm represented 12 in. in the first scale, but now 1 cm represents 11 in. in the second scale.

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