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A rectangle is constructed with its base on the x-axis and its upper two vertices on the parabola y = 144 - x2. What are the dimensions of the rectangle with the maximum area? What is the area?
2.
The shorter dimension of the rectangle is
and the longer dimension is
(Type an exact answer, using radicals as needed.)
The area of the rectangle is
(Type an exact answer, using radicals as needed.)

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A rectangle is constructed with its base on the x-axis and its upper two vertices on the parabola y = 144 - x2. What are the dimensions of the rectangle with the maximum area? What is the area? 2. The shorter dimension of the rectangle is and the longer dimension is (Type an exact answer, using radicals as needed.) The area of the rectangle is (Type an exact answer, using radicals as needed.)

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