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As an acre is a measure of area (a 2-dimensional object), a square acre is a 4-dimensional object; visualising 4-dimensional objects is not easy in our 3-dimensional space.

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Assuming you meant a square area which is 9 acres in size, then:

1 acre = 4840 sq yds

→ 9 acres = 9 × 4840 sq yds = 43560 sq yds

→ a square with an area of 9 acres has a side length of √43560 yards ≈ 208.71 yards (perimeter of approx 834.84 yards)

An area of 9 acres can have any shape you want. The smallest perimeter is when the 9 acres is circular in shape, in which case the perimeter is the circumference of the circle with area of 9 acres and is approx 739.86 yards long. Any other shape will have a perimeter that is longer than this.

Other examples are a rectangle 9 yards wide and 4840 yards long (perimeter 9699 yards);

a rectangle 198 yards wide (9 chains) by 220 yards long (1 furlong) (perimeter 836 yards).

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7y ago

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