# 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?

Â© BrainMass Inc. brainmass.com May 24, 2023, 1:33 pm ad1c9bdddfhttps://brainmass.com/math/linear-transformation/minimization-26452

#### Solution Preview

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

Let A = area = 1 ...

#### Solution Summary

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

$2.49