Question

The length of a rectangular floor is 5 feet less than twice its width. The area of the floor is 150 square feet. What is the length of the room?

Answer 1

L=2W-5
A=L×W
A=150
(2W-5)×W=150
2W^2-5W=150
2W^2-5W-150=0
(2W+15)(W-10)=0
W=-15/2 answer not plausible
W=10
L=2W-5
L=2 (10)-5
L=20-5
L=15