One acre is 43,560 square feet so 100 acres is 4,356,000 square feet. Your pasture is square so if the length of a side is L feet then L2 = 4,356,000. Thus L = √4,356,000 = 2,087 feet and hence the distance around the pasture is 4 × 2.087 = 8, 348 feet or about 1.6 miles.
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