I have 200m of fencing and I am trying to get the largest area with that amount of fencing

Guest Aug 16, 2017

#1**0 **

The max area is always a square:

P = 200, s = 200/4 = 50, A = 50*50 = 2500 square meters.

Mathhemathh
Aug 16, 2017

#2**+1 **

No,the max area is always a circle.(And the the max volume enclosed by min surface area is always a sphere.)

Fence length = 200 metres which can enclose a circular area of

pi (r^2). So find r,the radius.

Circumference = 200 = 2 pi(r)

pi (r) =100

radius is 100/(pi) Area is pi X { (100)^2} /(pi^2) }

Area = (100^2) /pi = 3183.098 which is greater than the area of the square.

The most area efficient shape is a circle. The most volume efficient shape is a sphere.That's why planets are not cube shaped.

frasinscotland
Aug 16, 2017