1 acre = 43,560 ft2. So 500 acre = 21,780,000 ft2. 4,667 ft X 4,667 ft = 21,780,889 ft2, which is pretty close.
An infinite length x width can be chosen, which will equal the necessary square feet: 4,356 ft X 5,000 ft, for example. Or 4,125 ft X 5,280 ft {one mile}
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500 acres is 2.02 square km
500 acres = 0.78125 square miles
500 acres = 0.78125 square miles
500 (sq meters) = 0.124 acres
0.78125 square miles per 500 acres.