Math CentralQuandaries & Queries


Question from dennis:

If I have eleven Square Acres, what would the perimeter dimensions be?

Hi Dennis,

There are 43560 square feet in an acre so your lot has an area of $11 \times 43560 = 479160$ square feet. The shape of your lot is a square and suppose each side is of length $L$ feet. In this case the ares is $L^2$ square feet, thus

\[L^2 = 479160 \mbox{ square feet}\]


\[L = \sqrt{479160} = 692.2 \mbox{ feet.}\]

Hence the perimeter is $4 \times 692.2$ feet.


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