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16 June, 14:14

Find the largest possible rectangular area you can enclose with 420 meters of fencing. What is the significance of the dimensions of this enclosure, in relation to geometric shapes?

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  1. 16 June, 14:40
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    I believe the ultimate fenced in area with minimal perimeter is a square.

    For any geometric shape a circle has the greatest maximum area minimum perimeter ratio.

    So for 420 meters, a square with sides of 105 meters will enclose maximum area if you must fence in a rectangular shape.
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