Math word problem for algebra

Question

A rectangular storage shed is 7.5 feet longer than it is wide. Its area is 396 ft2 . Set up and solve an equation (or system of equations) which model this situation and will allow you to find the length and width of this shed. [A picture or diagram may help you in setting up this problem.]

Answer 1

L=7.5+W

LW = 396

(7.5+W)W = 396

W^2 + 7.5W -396=0

W = -7.5/2 + or - (1/2)sqr(56.25+4(396))

W = -3.75 + or - 0.5(40.5) = -3.75 + or - 20.25 = -24 or 16.5 ignore the negative sqr

W = 16.5 feet

L = 24 feet