# Minimization

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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 Summary

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

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let l be the length and b be the width of the area.

Let A = area = 1 ...

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