7th/Math -Changing a Scale

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?

1cm/2.5m = 12cm/x m

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?

1cm/3cm = 3cm/x in.

What is the change in the scale factor from the old scale to the new scale? old = 1 in. = 3.3 ft new = 1 in. = 1.1 ft

3 to 1

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?

32ft/24ft

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?

50m

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?

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?

The width of the flower box under the old scale is 12 ft.

Thuy planned for a square table to have a side length of 30 in. but found that it could be a little bigger at 39 in. She found the change of scale below. What is Thuy's error?

Thuy should have written the ratio as 30in/39in

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?

Zelie should have divided both numbers by 14.

Rasheeda sees a garden in a book. She changes the scale because she wants a garden with different dimensions. The figure below shows both scales and a scale drawing of the garden. Which statements about the gardens are true? Select three options.

Length A of Rasheeda's garden is 27 ft. Length B of the book's garden is 12 ft. Length A of the book's garden is 9 ft longer than length A of Rasheeda's garden.

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.

NOT - Length A of the magazine's garden is 28 ft. Length A of Imogen's garden is 28 ft. Length B of the magazine's garden is 17.5 ft.

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?

One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale.

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?

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

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?

One inch represented 3 feet in the first scale, but now 1 inch now represents 4 feet in the second scale.

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?

The width of the garden under the new scale is 24 ft.