What is the perimeter of 5 acres?

Answer 1

An acre is 43560 square feet, imagine a square:

208.7103

X 208.7103 ft.

The perimeter of ONE acre (adding all 4 sides) would be

208.7103

+208.7103

+208.7103

+208.7103

= 834.8413 feet.

The perimeter of FIVE acres (five of these sqares side by side or 208.7103 X 1043.5516) would be:

208.7103

+ 1043.5516

+ 208.7103

+ 1043.5516

= 2504.5239

There are 5820 feet in a mile, so the perimeter of 5 acres is 0.474 miles

* * * * *

The above answer is only true if the area is in the form of a 5*1 rectangle. Was there any justification for selecting that configuration?

Answer 2

The area is not sufficient information to determine the length and width. First of all, there is no reason to suppose that the area is rectangular as opposed to circular or triangular or some other simple or complicated shape.

5 acres is 217,800 square feet. The smallest perimeter for 5 acres will be attained if it is a circular area with a perimeter of 1654.37 ft.

Or the 217,800 square feet could be in the form of a rectangle which is:

467 ft * 467 ft (approx) and a perimeter of 1,867 ft or

2,178 ft * 100 ft and a perimeter of 4,556 ft or

21,780 ft * 10 ft and a perimeter of 43,580 ft or

2,178,000,000 ft * 0.0001 ft and a perimeter of 4,356,000,000.0002 ft
As you can see there is no upper limit.