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 polynomial
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Question 203737: 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 nerdybill(7384) (Show Source): You can put this solution on YOUR website!
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.
.
Since the perimeter of any rectangle is:
2 times width plus length
.
P(x) = 2((2x-5)+(3x+9))
P(x) = 2(2x-5+3x+9)
P(x) = 2(5x+4)
P(x) = 10x+8
.
So, if x = 4
P(4) = 10(4)+8
P(4) = 40+8
P(4) = 48 feet
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