The length of a rectangle is 4 inches more than its width. the area of the rectangle is equal to 4 inches less than 5 times the perimeter. find the length and width of the rectangle. some with this

Let the width be w, then the length is w+4 (in).

The area of the rectangle is .

The perimeter of the rectangle is: 

P = 2(Width + Length)=2(w+w+4)=2(2w+4)=4w+8

"The area of the rectangle is equal to 4 inches less than 5 times the perimeter." means that:

A = 5P - 4







add and subtract 64 to complete the square:







thus w= 18 or w=-2, but the width clearly cannot be negative.

w=18, the length is 18+4 = 22 (in)

w=18 in, l=22 in