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12 November, 08:44

Find the dimensions of a rectangle with an area of 100 square feet that has the minimum perimeter.

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  1. 12 November, 09:11
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    The polygon with the shortest perimeter for a given area is a regular polygon. The regular 4-sided polygon is the square.

    The side length of the square with an area of 100 ft² is √ (100 ft²) = 10 ft.

    The rectangle with the minimum perimeter for an area of 100 ft² is 10 ft by 10 ft.
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