what is the rectangles width? algebra problem

Question

A rectangle has an area of 108 square inches. The rectangle's length is 6 inches longer than 4 times its width.

What is the rectangle's width?

Answer 1

L=6+4W

LW = 108

(6+4W)W = 108

4W^2+6W = 108

W^2 + 3W/2 =27

(W^2+3W/2 + 9/4) = 27 + 9/4

W+3/2 = sqr117/4 = about 5.41

W = 5.41-1.5 = 3.91 inches

L= 108/3.91 = 27.63 inches