If you have 100 feet of fence, which measurements would give you the largest area?

2 answers

form the 100 ft into a circle.
If you have a rectangular field, a square gives the maximum area of 25^2 = 625.

A regular pentagon has an area of 688.

As you add more sides, a regular n-gon with more sides has greater area.

Reiny's circle of radius 50/π has the maximum possible area of 2500.