A veterinarian is enclosing a rectangular outdoor running area against his building for the dogs he cares for. He needs to maximize the area using 200 feet of fencing. The quadratic function A(x) = x(200 − 2x) gives the area, A, of the dog run for the length, x, of the building that will border the dog run. Find the length of the building (in ft) that should border the dog run to give the maximum area, and then find the maximum area (in sq ft) of the dog run.
A veterinarian is enclosing a rectangular outdoor running area against his building for the dogs he cares for. He needs to maximize the area using 200 feet of fencing. The quadratic function A(x) = x(200 − 2x) gives the area, A, of the dog run for the length, x, of the building that will border the dog run. Find the length of the building (in ft) that should border the dog run to give the maximum area, and then find the maximum area (in sq ft) of the dog run.
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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A veterinarian is enclosing a rectangular outdoor running area against his building for the dogs he cares for. He needs to maximize the area using 200 feet of fencing. The quadratic function A(x) = x(200 − 2x)
gives the area, A, of the dog run for the length, x, of the building that will border the dog run. Find the length of the building (in ft) that should border the dog run to give the maximum area, and then find the maximum area (in sq ft) of the dog run.
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