Math CentralQuandaries & Queries


Question from Richard, a parent:

I need to know how many lineal feet there is around a 100 acre pasture that is square in shape. I am no longer able to get out and measure it myself, and cannot remember the math to compute it.

Thank you so much.



One acre is 43,560 square feet so 100 acres is 4,356,000 square feet. Your pasture is square so if the length of a side is L feet then L2 = 4,356,000. Thus L = √4,356,000 = 2,087 feet and hence the distance around the pasture is 4 × 2.087 = 8, 348 feet or about 1.6 miles.


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