The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 44 yd2. find the dimensions of the rectangle.

A = L * W

A = 44

L = 2W - 3

44 = W (2W - 3)

44 = 2W^2 - 3W

-2W^2 + 3W + 44 = 0

(-2W + 11) (W + 4) = 0

W + 4 = 0

W = - 4 ... not this one because it is negative

-2W + 11 = 0

-2W = - 11

W = - 11/-2

W = 5.5 < = = = width is 5.5 yds

L = 2W - 3

L = 2 (5.5) - 3

L = 11 - 3

L = 8 < = = = length is 8 yds