The width of a rectangle is 12 less than twice the length, and the area of the rectangle is 270 m2.

What is the length of the rectangle?

area is length * width, so if the length is x,

(2x-12)*x = 270
2x^2 - 12x - 270 = 0
x^2 - 6x - 135 = 0
so, which 2 factors of 135 differ by 6?