An acre is a unit of area, but its actual shape may vary. It doesn't have to be shaped like a square. The more oblong the shape, the greater the perimeter becomes.
If it is a perfect square, however, then its perimeter in feet will be four times the square root of its area in square feet. An acre is equal to 43,560 square feet. The square root of that is 208.71, so the perimeter is 834.84 feet if the acre is square. The minimum value of perimeter for a given area will always occur with a circular shape.
Area = Pi x d2/4, perimeter = Pi x d, so for 1 acre perimeter comes to 739.9 ft.
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The perimeter of a 72-acre square is 7,080 feet or 1.34 miles.
It depends on the shape of the acre, it is not a fixed distance.
A 20-acre square lot has a perimeter of 3,733.52 feet.
A 12-acre square lot has a perimeter of 2,891.96 feet.
If the half-acre is perfectly square, 147.58 feet by 147.58 feet, then the perimeter is 590.32 feet. If it's any other shape, you would need to re-calculate the perimeter.