Half an acre = 21780 sq feet.
This could have a perimeter of any length greater than (or equal to) 523.16 feet.
If the area is in the form of a circle of radius 83.26 feet, it will have the minimum perimeter of 523.16 feet.
Or, you can have a square of 147.6 ft giving a perimeter of 590.3 ft,
or a rectangle of 150 ft * 145.2 ft - perimeter = 590.4 ft
or a rectangle of 100 ft * 217.8 ft - perimeter = 635.6 ft
or a rectangle of 10 ft * 2178 ft - perimeter = 4376 ft
or a rectangle of 1 ft * 21780 ft - perimeter of = 43562 ft
etc, with the perimeter increasing without limit.
Or, the area could be circular giving the minim
590 feet.
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