Math CentralQuandaries & Queries


Question from Ronald, a parent:

The front and back are equal and the two sides are equal what would what would be the dimensions of a 15 acre lot?


There are many possibilities!

One acre is 43,560 square feet so 15 acres is 15 × 43,560 = 653,400 square feet. If all 4 four sides are of equal length and the corners are square, that is the lot is a square, then the side length is √653,400 = 808.3 feet. If the corners are square so the lot is a rectangle then the length and width could be any numbers which have a product of 653,400. For example 6,534 feet by 100 feet or 900 feet by 726 feet or many other possibilities. If the corners are not square there are many other possibilities.


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