Question

A children’s sandbox is x feet deep, (10-x) feet wide and (14-x) feet long. What expression would represent the perimeter of the bottom of the sandbox

Answer 1

`x^(2) -24x + 140`

Explanation:

a sandbox is the same at a rectangular prism

the formula is base times height.

to find base multiply width (10-x) times length (14-x)

this would be

• (10-x)(14-x)

simplified is

• 140-24x+
  `x^(2)` or

x^2-24x+140. This is the perimeter of the base (bottom) of the sandbox