How many times would I have to run around my five acres to have run a mile?

I was wondering if I live on five acres in a square piece of land. There are four property markers one on each corner how many times would I have to run around the outside of the five acres from corner to corner to equal a mile?

1 acre = 43,560 sq. ft.

5 acres = 5 x 43,560 sq. ft = 217,800 sq. ft.

You said it was a square lot, so take the square root to find the length of a side:

s² = 217,800 sq. ft.

s = √217,800 = 466.7 ft. per side

There are 4 sides to a square.

4s = 4 x 466.7 ≈ 1,867 ft.

A mile is 5,280 ft so divide to get the number of times you’d need to run around the lot.

5280 / 1867 = 2.8 times going around.

It also seems like you want to know if you run corner to corner. Using the Pythagorean Theorem, and a side length of 466.7 you can figure the diagonal length.

466.7² + 466.7² = x²

2(466.7)² = x²

x = 466.7√2

x ≈ 660 ft.

5280 / 660 = 8 times

Answer:

2.8 times around the perimeter

8 times along the diagonal

How many miles is 5 acres