Question

the perimeter of a rectangle is 80 feet. Find the dimensions if the length is 5 feet longer than the width. Write and solve algebraic equation.

Answer 1

The relation between the length and width is

`l = w + 5`
Perimeter is 80.

`80 = 2w \: + 2l`
Substitute the expression for l

`80 = 2w + 2(w + 5)`


`80 = 2w + 2w + 10`

`70 = 4w`


`w = 17.5 \: units`

`l = 22.5 \: units`