He 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 width of the room?

A = L * W

A = 150

L = 2W - 5

150 = W (2W - 5)

150 = 2W^2 - 5W

2W^2 - 5W - 150 = 0

(2W + 15) (W - 10) = 0

2W + 15 = 0

2W = - 15

W = - 7.5 < = = not this one

W - 10 = 0

W = 10 <===the width is 10

length is 2W - 5 ... 2 (10) - 5 ... 20 - 5 ... 15