Math CentralQuandaries & Queries


Question from Deniece, a student:

I have 2 lots that are joined together. One lot is 38' X 105' and the other is 45' X 105'. What is the total in acre size. Or, how close are these lots to make one full acre? I want to sell both lots and want to advertise using the total lot size. Thank you.

Hi Deniece,

You have two rectangular lots and the area of a rectangle is the length times the width. Thus the total area of your lots is

\[38 \times 105 + 45 \times 105 = 3990 + 4725 = 8715 \mbox{ square feet.}\]

One acre is 43560 square feet so your two lots are $\large \frac{8715}{43560} \normalsize = 0.20 $ of an acre or one fifth of an acre.


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