Solution
The length of a rectangle is five times its width.
Let the length be represented by L
Let the width be represented by W
The length of the rectangle is five times the width i.e

To find the perimeter, P, of a rectangle, the formula is

Given that the perimeter, P, of the rectangle is 120ft,
Subsitute for length and width into the formula above

Recall that, the length of the rectangle is

To find the area, A, of a rectangle, the formula is

Substitute the values of the length amd width into the formula above

Hence, the area of the rectangle is 500ft²