Question 600376
A = LW


A = (W+3)W


A = W(W+3)


180 = W(W+3)


180 = W^2 + 3W


0 = W^2 + 3W - 180 


W^2 + 3W - 180 = 0


Now use the quadratic formula to solve for W


W = (-b+-sqrt(b^2-4ac))/(2a)


W = (-(3)+-sqrt((3)^2-4(1)(-180)))/(2(1))


W = (-3+-sqrt(9-(-720)))/(2)


W = (-3+-sqrt(729))/2


W = (-3+sqrt(729))/2 or W = (-3-sqrt(729))/2


W = (-3+27)/2 or W = (-3-27)/2


W = 24/2 or W = -30/2


W = 12 or W = -15


Toss out the negative result to get the only answer of W = 12


So the width is 12. 


The length is 3 more than the width. So the length is L = W+3 = 12+3 = 15


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Answer: 


The length is 15 feet and the width is 12 feet