the length of a rectangle is two more than twice the width. the area is 144 ft. square. find the length and width of the rectangle.

Width = w

Length = 2+2w

Area = w(2+2w) = 144

Or,  2w^2 +2w -144 = 0

Or, 2w^2 + 18w - 16w - 144 = 0

Or, 2w(w+9) - 16(w+9) = 0

Or, (w+9)(2w-16)=0

Or, w = 16/2 = 8

Width = 8 ft

Length = 2+2*8 = 18 ft