# Minimization

A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?

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#### Solution Preview

This is a minimization problem:

a a a

b

The area looks like the above graph, with height = a and length=b

Then we have a*b = ...

#### Solution Summary

This is a minimization problem regarding area and length of fence.

$2.19