What is the area of this rectangle?11 units²18 units² 20 units² 22 units²

The length of a rectangle is 10yd less than three times the width, and the area of the rectangle is 77 yd sq. Find the dimensions of the rectangle.

w = width ... length = 3w - 10

A = Lw

77 = (3w - 10) w

3x^2 - 10w - 77 = 0

(3w + 11) (w - 7) = 0

w = 7 or (w = - 11/3 ... not possible)

L = 11