SOLUTION: The width of a rectangular playground is 2x - 5 feet and the length is 3x + 9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomia

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The width of a rectangular playground is 2x - 5 feet and the length is 3x + 9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomia      Log On


   

Question 401147: The width of a rectangular playground is 2x - 5 feet and the length is 3x + 9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet.
Answer by solver91311(24713) About Me  (Show Source):
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The perimeter of a rectangle is given by:



Substitute the two binomial expressions for length and width:



Simplify so that you keep a tidy kitchen:



For the second part of your problem, plug in a 4 and do the arithmetic.



Remembering to express your answer in the specified units, namely feet in this case.

John

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