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Any length greater than or equal to 159.48 metres.

A circle of radius 25.38 metres (perimeter = 159.48 m) will enclose an area of 2024 sq metres. Flattening the circle will enable you to leave the enclosed area unchanged but increase the perimeter WITHOUT LIMIT.

Similarly, a square of sides 44.989 metres (approx) will enclose an area of 2024 sq metres. That has a perimeter of 179.956 metres.

But so will a rectangle of dimensions 44 m * 46 m (perimeter 180 m)

or 4.4 m and 460 m (P = 928.8 m)

or 0.44 m and 4600 m (P = 9200.88 m)

or 0.044m and 46000 m (P = 92000.088 m)

Hope you can see that this process is also endless.

And then there are other shapes.

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