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The length of a rectangle exceeds its width by 12 inches, and the area is 85 square inches. What are the length and width of the rectangle?

 Mar 30, 2020
 #1
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Set Up:

Length = L

Width = W

 

L = W + 12

 

Area = LW

Simplify:

W(W+12) = 85

 

W2 + 12W - 85 = 0

 

Factor:

(W + 17)(W - 5) = 0 

 

Solve:

W = -17 or W = 5

 

I will leave the rest up to you. (Hint: lengths can't be negative.)

cheeky

 Mar 30, 2020

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