A pentagonal window will have the shape of a rectangle crowned by an isosceles triangle (with a horizontal base so that

the window will be symmetrical about its vertical axis), and the perimeter of the window is 24 feet. Determine the dimensions of

a window like this through which the greatest amount of light enters thanks to the fact that it has the maximum area.

Image transcriptions

A pentagonal window will have the shape of a rectangle surmounted by an isosceles triangle (with a horizontal base so that the window will be symmetrical with respect to its vertical axis), and its perimeter is 24 feet. Determine the dimensions of a window like this through which the greatest amount of light enters thanks to its 'maximum area'.

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