SOLUTION: A square pool has a 6-foot wide walk around it. If the sides of the pool have length x, find a polynomial that gives the area of the pool and sidewalk.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A square pool has a 6-foot wide walk around it. If the sides of the pool have length x, find a polynomial that gives the area of the pool and sidewalk.       Log On


   

Question 1030197: A square pool has a 6-foot wide walk around it. If the sides of the pool have length x, find a polynomial that gives the area of the pool and sidewalk.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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A square pool has a 6-foot wide walk around it. If the sides of the pool have length x, find a polynomial that gives the area of the pool and sidewalk.
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Two (different) polynomials are

x%5E2 for the area of the pool, and

%28x%2B12%29%5E2+-+x%5E2 = 24x + 144 for the area of the sidewalk.


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
A square pool has a 6-foot wide walk around it. If the sides of the pool have length x, find a polynomial that gives the area of the pool and sidewalk. 
Let one side of square be S

Then area of pool = S%5E2

As a uniform width of 6 feet adds 12 (6 * 2) feet to each side of the pool, area of pool and sidewalk is: