A window has the shape of a rectangle surmounted by an equilateral triangle. if the perimeter of the window is 12 m, find the dimensions of the rectangle that will produce the largest area of the window.
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Largest area of window will be there when both adjacent sides of a rectangle is equal in length i.e. it is a square.then total perimeter of window =5×side of square (as side of square is equal to side of triangle as triangle is described on one side of it) Hence side of rectangle=2.4m Dimensions of rectangle are 2.4×2.4m
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