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An acre was NOT defined as 43560 feet, but as 43560 SQUARE feet.

This is immediately apparent when you consider that an acre is a measure of area, with dimensions [L2]. A foot is a measure of distance, with dimensions [L]. Basic dimensional analysis teaches that you cannot convert between measures with different dimensions without additional information.

An acre is equivalent to the area of 1 furlong (660 feet) by 1 chain (66 feet).

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Q: How was an acre defined as 43560 feet?
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