Question: A rectangle is constructed with its base on the diameter of a semicircle with radius 12 and with its two other vertices on the semicircle.

A rectangle is constructed with its base on the diameter of a semicircle with radius 12 and with its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum area? Let A be the area of the rectangle. What is the objective function in terms of the base of the rectangle, x ? A= (Type an expression.)

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