SOLUTION: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 203 square feet and the dimensions of the pool are 14 feet by 8 feet, how wide is the walk

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 203 square feet and the dimensions of the pool are 14 feet by 8 feet, how wide is the walk      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 903798: A man built a walk of uniform width around a rectangular pool. If the area of the walk is 203 square feet and the dimensions of the pool are 14 feet by 8 feet, how wide is the walk?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the uniform width of walkway.

Total area of pool and walkway: %2814%2B2x%29%288%2B2x%29

Area of JUST the walkway: highlight_green%28%2814%2B2x%29%288%2B2x%29-14%2A8=203%29;
simplify and solve for x.


Note, the first two steps can be:
14%2A8%2B16x%2B28x%2B4x%5E2-14%2A8=203
4x%5E2%2B44x=203