Quadratic Word Problems

Question

The length of a rectangle is the sum of the width and 1. The area of the rectangle is 72 square units. What is the length, in units, of the rectangle?

Answer 1

L=w+1

Lw=72 = (w+1)w= w^2+w

w^2 +w -72=0

(w+9)(w-8)=0

w=8

L= 9