SOLUTION: A pool is three feet longer than wide. A walkway around it is two feet wide. The combined area of th walkway and pool is seventy square feet. What is the area of just the pool?

Question 677538: A pool is three feet longer than wide. A walkway around it is two feet wide. The combined area of th walkway and pool is seventy square feet. What is the area of just the pool?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= width of the pool, in feet
Then,
= length of the pool, in feet,
because the "pool is three feet longer than wide."

Also, since there are two widths of walkway on either side of the pool's width and length,
= width of the pool plus walkway, in feet,
= length of the pool plus walkway, in feet, and
= combined area of the walkway and pool, in square feet.

Since the "combined area of the walkway and pool" is square feet,

I can solve that equation to find a solution for that is positive, and then use that value to calculate the width, length, and area of just the pool, in square feet.

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Factoring, is the easiest way to solve that quadratic equation.
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The solution to that equation are and
The solution , which is negative, is not a good number for the width of a pool in feet, so it does not lead to a solution to our problem.

= width of the pool, in feet
leads to
= length of the pool, in feet, and
= area of just the pool, in square feet.
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