Question

The length of a rectangular pool is seven less than twice its width. If the

perimeter of the pool is 106 feet, find its dimensions.

Answer 1

width = 20 ft; length = 33 ft

Explanation:

The formula for perimeter of a rectangle is P = 2l + 2w

Given that the length is seven less than twice its width, we have

`l=2w-7`

We need to have only one variable or we can't solve.

Thus, we have:

`106=2(2w-7)+2w\\106=4w-14+2w\\106=-14+6w\\120=6w\\20=w\\\\l=2w-7\\l=2(20)-7\\l=40-7\\\\l=33`