Asked by Erika

If a field has perimeter P, what shape maximizes the area? Justify your reasoning.
Answered by Ms. Sue
Let's suppose the perimeter is 100 meters.

If it was 2 by 48 meters, the area would be would be 196 square meters

If it was 20 by 30 meters, the area would be 600 square meters.

If it was 25 by 25, the area would be 625 square meters.

Answered by Erika
But, what shapes are those measurements?
Answered by Ms. Sue
If a rectangle has four sides of equal length, what shape is it?

Answered by Ginneth
If all shapes have the same perimeter a circle will be the shape that would maximize the area.
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