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A perimeter is not enough to determine the area.

A 4000 ft perimeter could be a circular shape with radius giving an area of 1,273,000 sq ft (approx) = 29.23 acres.

It could be a 1000 ft * 1000 ft square with an area of 1,000,000 sq ft = 22.96 acres

or a 500 ft * 1500 ft rectangle with an area of 750,000 sq ft = 17.22 acres

or a 100 ft * 1900 ft rectangle with an area of 190,000 sq ft = 4.36 acres

or a 10 ft * 1990 ft rectangle with an area of 19,900 sq ft = 0.46 acres

or a 1 ft * 1999 ft rectangle with a n area of 1,999 sq ft = 0.05 acres

or a 0.1 ft * 1999.9 ft etc.

As you might guess from the above, by reducing one dimension the area of the parcel of land can be reduced without limit although the perimeter is left unchanged.

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Q: How many acres in a parcel of land 4000 feet perimeter?
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