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Mr. Cooper is building a playset in his backyard for his kids. He has a made a scale drawing of the playset to help him estimate the amounts of building materials he needs to purchase. Part of the playset includes a rectangular sandbox, which has a length of 5 1/2 feet and a width of 7 1/2 feet. On the scale drawing, the length of the sandbox is 2 3/4

A. The scale used in the drawing is _____ = 1 foot.

B. On the scale drawing, the width of the sandbox is _____ inches.

C. If Mr. Cooper decides to make a new scale drawing of the playset, in which he uses a scale of 1/4 inch = 1 foot, all of the dimensions in the old drawing will be multiplied by a factor of ______

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isabelquiroz1120

Answer:If Mr. Cooper decides to make a new scale drawing of the play set, in which he uses a scale of inch = 1 foot, all of the dimensions in the old drawing will be multiplied by a factor of ⇒ the last answe

Step-by-step explanation:

* Lets study what is the meaning of the scale factor

- To find a scale factor between two similar figures

# Find two corresponding sides and write the ratio of the two sides.

# If you begin with the smaller figure, your scale factor will be less

than one.

# If you begin with the larger figure, your scale factor will be greater

than one

* Now lets solve the problem

- The rectangular sandbox, has a length of 5 feet and a width of

7 feet

- On the scale drawing, the length of the sandbox is 2 inches

- The actual sandbox and the drawing sandbox are similar

∵ The length of the actual sandbox is 5 feet

∵ The drawing length is 2 inches

∵ 1 foot = 12 inches

∴ The scale factor is 2/(5 × 12) = 1/30

* That means each actual dimensions will multiply by 1/30 to find

the drawing dimensions

∴ The drawing length of the sandbox = 5 × 12 × 1/30 = 2 inches

∴ The drawing width of the sandbox = 7 × 12 × 1/30 = 2.8 inches

* All of the dimensions in the old drawing will be multiplied by

a factor of 1/30

Kaneppeleqw and 13 more users found this answer helpful

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