A rectangle has a area of 27 in. squared. its length is 3 in. less than 4 times its width. find the width and length.

Answer 1

L = 4w -3

A = Lw = 27 = (4w -3)w = 4w^2 -3w

4w^2 -3x -27 = 0

factor or use the quadratic formula or graph it and find the x intercepts = real solutions

(4w +9)(w-3) = 0

w = 3 inches wide, L =9 inches Long