Math CentralQuandaries & Queries


Question from Destini, a student:

I cannot figure out what the perimeter for 1.4 acres of land in the shape of a square. I have tried and tried and eventually tried to use a calculator and I still can't figure it out. Can you help me? Thanks!

Hi Destini,

One acre is 43560 square feet so 1.4 acres is $43560 \times 1.4$ square feet.

The area of a rectangle is the length times the width but your rectangle is a square so its area is the length squared and its perimeter is 4 times the length. Thus

\[\mbox{length}^2 = 43560 \times 1.4 \mbox{ square feet.}\]

Can you find its perimeter now?


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