SOLUTION: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 315 square feet and the dimensions of the pool are 8 feet by 18 feet, how wide is the walk

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Question 831318: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 315 square feet and the dimensions of the pool are 8 feet by 18 feet, how wide is the walk?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Let w be the width of the walkway

Total area: %282w%2B8%29%282w%2B18%29
Pool area: 8%2A18

The difference in areas is the area of the walkway:
%282w%2B8%29%282w%2B18%29-8%2A18=315
Solve for w.