The width of a rectangle is 15 inches less than three times its length. If the perimeter is 26 inches, what is the area of the rectangle?

Question

Set up an equation and solve. The rectangle is 15in less than three times its length. If the perimeter us 26in, find the area.

Answer 1

P=26 = 2w +2L

divide by 2

13 = w+L

L = 13-w

w =3L-15

w = 39-3w -15

4w = 24

w=6 in

L=13-7= 7 in

A=wL=42 in^2