Question

A rectangle with an area of 120 in 2 has a length 8 inches longer than two times its width. What is the width of the rectangle?

Answer 1

width = x

length = 2x+8

area = l x w

x(2x+8)=120

2x^2+8x−120=0

x^2+4−60=0

(x+10)(x−6)=0

x=−10 and x=6

width has to be a positive number

Width = 6 inches.