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

Question

Mathematics

Colby Irwin

30 July, 21:09

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

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Answers (1)

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Trystan Bean · Answer 1

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.