Question
If you have 100 feet of fence, which measurements would give you the largest area?
Answers
Reiny
form the 100 ft into a circle.
Steve
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.
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.