Find the max area for the window

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Reference no: EM13202248

A Norman window has the shape of a rectangle with a semicircle sitting on top of it; the diameter of the circle matches the top of the rectangle.

Let x be the length of the top of the rectangle (and thus also of the bottom of the rectangle and of the diameter of the circle) and y the length of the side of the rectangle.

find the max area for the window

 

Reference no: EM13202248

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