Shortest length: A rancher wants to fence in an area of 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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How many square feet? It didn't show.

woops! 500,000!

Your primary equation will be to describe the perimeter of the fenced in area, which for a rectangle would be P=2x+2y. However, because of the divide down the middle, it is instead P=3x+2y (it will be equal in length to one of the sides). You need to find an equation to relate x and y so that you can substitute one for the other, and this can be done with your area. The area equals side x times side y, so xy=500,000.

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