Solving a word problem using a quadratic equation with rational

Question

The area of a rectangle is 27 m² in the length of the rectangle is 3 m less than twice the Width find them dimensions of the rectangle

Answer 1

L=2W-3

A=LW = 27 = (2W-3)(W = 2W^2 -3W

2W^2 -3W -27 = 0

(2W-9)(W+3) = 0

W =9/2 = 4 1/2 meters

L = 2(9/2)-3 = 6 meters

dimensions are 4 1/2 by 6 meters

4.5 x 6 = 27 m^2