SOLUTION: please help w/ thorough steps! The area of a rectangular pool is (x^2 + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-mete

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: please help w/ thorough steps! The area of a rectangular pool is (x^2 + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-mete      Log On


   

Question 1068570: please help w/ thorough steps!
The area of a rectangular pool is (x^2 + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B17x%2B72=%28x%2B9%29%28x%2B8%29, so the two pool dimensions are x%2B9 and x%2B8.

The walkway around the pool makes the entire outer dimensions (outer border) x%2B9%2B2%2A3=highlight%28x%2B15%29 and x%2B8%2B2%2A3=highlight%28x%2B14%29.