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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-> 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 401239: 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 algebrahouse.com(1659) (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."
2x - 5 = width
3x + 9 = length
P = 2(2x - 5) + 2(3x + 9) {perimeter of a rectangle = 2(width + 2(length)}
P = 4x - 10 + 6x + 18 {used distributive property}
P = 10x + 8 {combined like terms}
If x = 4
10x + 8
= 10(4) + 8 {substituted 4 in for x}
= 40 + 8 {multiplied 10 by 4}
= 48
