A farmer wants to make a rectangular field with a total area of 3200 m2. It is surrounded by a fence. It is divided into 3 equal areas by fences. What is the shortest total length of fence with which this can be done? meters

The shortest total length of fence with which this can be done is 40m^2

Step-by-step explanation:

Lets say that your area has width      and length .    Since you want to divided it into 3 equal areas by fences there would be 4  lengths and the area and perimeter would be given by the following equations.

Perimeter =

We want to optimize the perimeter so

Solving for      we get

Since      and      then    

c

c

c

c

c

c

c

cc

c

step-by-step explanation: