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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? X 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.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) The rectangle with maximum area has base and height (Type exact answers, using radicals as needed.)When does the net area of a region equal the area of a region? When does the net area of a region differ from the area of a region? When does the net area of a region equal the area of a region? O A. The net area of a region is never equal to the area of a region. O B. The areas are equal when there is equal area above and below the x-axis. O C. The areas are equal when the region lies wholly below the x-axis. O D. The areas are equal when the region lies wholly above the x-axis. When does the net area of a region differ from the area of a region? O A. The areas differ when the region lies wholly above the x-axis. O B. The net area of a region always differs from the area of a region. O C. The net area of a region never differs from the area of a region. O D. The areas differ when any part of the region lies below the x-axis