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10-08-2016
Mathematics

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Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.

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10-08-2016

The rectangle with a certain area and the smallest perimeter
is always a square.

343 = 7³

If the area is 343 m², then the rectangle with the smallest perimeter
is the square with sides of

√343 = (7)^ ¹·⁵ = 7 √7 meters

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