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The area is not sufficient information to determine the perimeter.

First of all, there is no reason to suppose that the area is rectangular as opposed to circular or triangular or some other simple or complicated shape. So, all that can be said is that the perimeter is greater than 178.97 feet, a perimeter that is attained when the area is a circle.

If the area is a rectangle, it could be

25.49 ft * 100 ft so that the perimeter is approx 250.98 ft

or 2.549 ft * 1000 ft and a perimeter of 2005.10 ft

or 0.2549 ft * 10000 ft and a perimeter of 2000.51 ft

or 0.0002549 ft * 10000000 ft and a perimeter of 2000000 ft.

By making the rectangle thinner and longer, the perimeter can be increased without limit.

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Q: What is the perimeter if the area is 2549 sf?
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