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 answer
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
