A rectangle is 7 feet longer than it is wide. If its area is 120 square feet, find its length and width. Represent this situation as an equation and solve.

Answer 1

L=7+w

A=LW
120=(7+w)w
120=7w+w^2
w^2+7w-120=0
(w+15)(w-8)=0
w=-15 or w=8. Length cannot be negative.
Width is 8 ft. Length is 15 ft.

Answer 2

A rectangle has an area of 120 square feet and a width of 8 feet what is the length of the rectangle