What is the answer to this problem?

Question

The length of a rectangle is 7 less than twice the length of its width. If the area of the rectangle is 15 square meters, find the value of x.

Answer 1

L=2W-7

15 = LW = (2W-7)W = 2W^2 -7W

2W^2 -7W -15 = 0

(2W+3)(W-5) = 0

W = 5 meters

L =2(5)-7 = 3 meters

3 x 5 = 15 square meters