find the area

Question

if the perimeter of a rectangle is 86 inches and the length is 11 inches more than its width, find the area of the rectangle.

Answer 1

Let w = the width

Let w + 11 = the length

P = 2l + 2w

86 = 2(w + 11) + 2w

86 = 2w + 22 + 2w

64 = 4w

w = 16 inches

w + 11 = 16 + 11 = 27 inches

A = lw

A = 16(27)

A = 432 inches²