SOLUTION: The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5. If the length

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5. If the length       Log On


   



Question 184441: The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5. If the length of the sandbox is designed to be 10 feet longer than the width, write a polynomial that represents the area of the sandbox.
Answer by Alan3354(69443) About Me  (Show Source):
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The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5. If the length of the sandbox is designed to be 10 feet longer than the width, write a polynomial that represents the area of the sandbox.
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W = 2x+5
L = W + 10 = 2x+15
Area = L*W
Area = (2x+5)*(2x+15)
Area = 4x^2 + 40x + 75 square feet