eliarnol5888 eliarnol5888
  • 03-05-2018
  • Mathematics
contestada

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

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sqdancefan
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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