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Any length equal to or greater than 4308.132 metres.

116 hectares = 1 160 000 metres2

This area can be contained in any rectangle such that L*W = 1 160 000 m2

where L and W are its length and width.

L and W cannot be smaller than sqrt(1160000) m = 1077.033 m

when the perimeter would be 4*1077.033 m = 4308.132 m

But you can increase the length to 1160m (W = 1000m) and perimeter = 4320 m

or double L to 2320 m, W = 500 m and P = 5640 m

or double L again to 4640 m, W = 250 m and P = 9780 m

When L = 1 160 000 m and W = 1 m, P = 2 320 002 m

But you can continue increasing L forever.

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Q: What is the perimeter of an area of 116 hectares?
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