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You want to maximize the area of an inscribed rectangle under the line Y()= -x + 4 in the FIRST quadrant with the x-axis

 

You want to maximize the area of an inscribed rectangle under the line Y()= -x + 4 in the FIRST quadrant with the x-axis and the y-axis. Find the measurements of such rectangle so that you can have maximum area. Please draw the picture of the problem on x-y coordinate system to receive full credit.

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