A rooms length is 3 feet less than twice it's width. The area of the room is 135 square feet. What are the rooms dimensions?

A = L * W

A = 135

L = 2W - 3

135 = W (2W - 3)

135 = 2W^2 - 3W

-2W^2 + 3W + 135 = 0

(-2W - 15) (W - 9) = 0

-2W - 15 = 0

-2W = 15

W = - 15/2 ... not this one because it is negative

W - 9 = 0

W = 9 < = = = the width is 9 ft

L = 2W - 3

L = 2 (9) - 3

L = 18 - 3

L = 15 < = = = length is 15 ft