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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abdubasheer abdubasheer

06-11-2017
Mathematics

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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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wolf1728 wolf1728 · Answer 1 · 2017-11-07T05:02:13+01:00

wolf1728 wolf1728

07-11-2017

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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