# Maximization of the area of a window

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A special window has the shape of a rectangle surrmounted by an equilateral triangle. If the perimeter is 16 feet, what dimensions will admit the most light? (hint: Area of equilateral triangle = the square root of 3/4 times x squared.)

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The problem is solved giving all necessary mathematical steps. It will enable you to do similar problems yourself.

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This is an area maximization problem,

<br>Equilateral triangle has all of its sides equal ( let it be X)

<br>The area of the window can be written as, (L=length, b=breadth)

<br>But when you surmount a ...

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