Question 233167
L = length
W = width


L = W + 15


A = area = L*W


L*W = 4500


Since L = W + 15, this becomes:


(W + 15) * W = 4500


This becomes W^2 + 15*W = 4500


Subtract 4500 from both sides to get W^2 + 15*W - 4500 = 0


Factor to get (W - 60) * (W + 75) = 0


This makes W = 60 or W = -75


W can't be negative so W = 60 or not at all.


Take W = 60


This makes L = W + 15 = 75


60 * 75 = 4500 so the area is good.


L = 15 more than W so L and W are ok.


Your answer is that the dimensions are:


Length = 75 feet
Width = 60 feet
Area = 4500 square feet