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03-05-2018
Mathematics

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

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sqdancefan sqdancefan

07-05-2018

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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