How many feet in the perimeter of a 10 acre lot?

Answer 1

The area of a lot is not enough information to determine its perimeter. The most compact perimeter is approx 740 feet, which is attained by a circular lot.

Consider the following rectangular plots, each is of area 1 acre:

100 ft * 435.6ft : perimeter = 1071.2 ft

10 ft * 4356 ft : perimeter = 8732 ft

1 ft * 4356 ft : perimeter = 87122 ft

0.1 ft * 43560 ft : perimeter = 871200.2 ft

...

0.000001 ft * 43,560,000,000 ft : perimeter = 87,120,000,000 ft (approx) = 16,500,000 miles.

There is virtually no limit to how much the first dimension can be reduced and the perimeter increased.