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The area doesn't tell you the dimensions or the perimeter. It doesn't even tell you
the shape.
The shortest perimeter that could enclose that area would be a circle. The shortest
perimeter with straight sides would be a square. If it's a rectangle, then there are
an infinite number of them, all with different dimensions and different perimeters,
that all have the same area.
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RossThe perimeter of an area depends on its shape. Assuming a rectangular shape, the minimum perimeter is when it is square. The maximum perimeter is infinite when one edge is very long and the adjacent edge is very short. So, for a square, one side of a 5000 metre square area is the square root of the area which is 70.710678 metres. The perimeter would be 4 times that number or 282.84 metres. The very minimum perimeter, however, would be a circular area. using the formula pi times the radius squared equalling 5000. solving for R you wind up with a radius of 39.8942m. then the perimeter is equal to pi times the diameter, or 250.6628 meters as a very minimum perimeter.
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