a rectangle has a length of 12 yards less than 3 times its width. if the area of the rectangle is 180 square yards, find the length of the rectangle

Answer 1

L = 3W -12

A = LW = (3W -12)W = 3W^2 -12W = 180

3W^2 -12W - 180 = 0

W^2 -4W - 60 = 0

(W -10)(W +6) = 0

W = 10 yards wide

L = 3(10)-12 = 18 yards long