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Consider a window the shape of which is a rectangle of height h surmounted by a triangle having a height T that is 0.3 times

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Consider a window the shape of which is a rectangle of height h surmounted by a triangle having a height T that is 0.3 times the width w of the rectangle (as shown in the figure below). If the cross sectional is A, determine the dimensions of the window which minimize the perimeter.

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