The length of a rectangle is five times its width. If the perimeter of the rectangle is 96, find its area.

Answer 1

First, set up the information you are given and the general equations for perimeter and area:

L = 5W

P = 96

P = 2L + 2W

A = L x W

Then, plug in what you know into the existing equations to solve for width:

P = 2L + 2W

96 = 2(5W) + 2W

96 = 10W + 2W

96 = 12W

96/12= 12W/12

W = 8

Now, use the new value for width to find the length:

L = 5W

L = 5 x 8

L = 40

Last, use the length and width to find the area:

A = L x W

A = 40 x 8

A = 320