How many feet in the perimeter of 3 acres?

Answer 1

• Short answer:

Any length you like greater than or equal to 132√(30π) ≈ 1281.47 ft

• Long answer:

An acre is a measure of area and as such it does not matter what shape 3 acres is as long as its area is 3 acres.

The minimum perimeter is if you have a circle of area 3 acres which give a perimeter of 132√(30π) ≈ 1281.47 ft

If you have a square with an area of 3 acres, then the perimeter will be 264√30 ≈ 1445.99 ft

The acre was originally the area of a rectangle 1 chain (66 ft) wide by 1 furlong (660 ft) long. If three of these rectangles are placed next to each other (with a side in common) to provide an area of 3 acres, then depending how the rectangles are joined, the perimeter could be 1716 ft, 2904 ft or 4092 ft.

If you have a single rectangular area of 3 acres in the same proportions as the original acre (so it would be 66√3 ≈ 114.32 ft wide and 660√3 ≈ 1143.15 ft long), it would have a perimeter of 1452√3 ≈ 2514.94 ft.

These are just some examples, by varying the shape you can have any length you like greater than or equal to the minimum of about 1281.47 ft.

Answer 2

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