SOLUTION: Perimeter of a rectangle. 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 evalu

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perimeter of a rectangle. 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 evalu      Log On


   

Question 319323: Perimeter of a rectangle. 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 nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is found using P = 2L + 2W.
Width = 2x - 5
Length = 3x + 9
P(x) = perimeter or P
P(x) = 2(3x + 9) + 2(2x - 5)
P(x) = 6x + 18 + 4x - 10
P(x) = 10x + 8
We now replace x with 4 and simplify.
P(4) = 10(4) + 8
P(4) = 40 + 8
P(4) = 48
Done!