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It could take near enough forever.

A million acres is 43560000000 sq ft. The minimum perimeter for an area of this size is 4*sqrt(43560000000) ft = 4*208710 ft = 834841 ft = 158 miles.

But there is no maximum length for the perimeter. The million acres could be

43560 * 1000000 sq ft with a perimeter of 2087120 ft = 395 miles

or 4356 *10000000 sq ft with a perimeter of 20008712 ft = 3790 miles

or 435.6 * 108 sq ft with a perimeter of 2*108 ft = 37879 miles

etc.

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