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Any value greater than 224.2 feet. A circle with a circumference of 224.2 ft (approx) has an area of 4000 square feet. By strectching the circle along one axis and making it narrower along another (making the circle into an ellipse), its perimeter can be increased without changing its area. There is no upper limit to the perimeter.

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Q: What is the perimeter of 4000 square feet?
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