A rancher has 300 feet of fence for constructing a rectangular corral. One side of the corral will be formed by a barn and requires no fence. Three exterior fences and one interior fences partition the corral into two rectangular regions as shown. What are the dimensions of the corral that maximize the enclosed area? What is the area of that corral?
Added by Wendy B.
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Let the length of the fence parallel to the barn be x, and the length of the other two fences perpendicular to the barn be y. Then we have the equation for the perimeter: x + 2y = 300. Show more…
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