A rancher has 400 ft 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 two interior fences partition the corral into three rectangular regions. What dimensions of the corral maximize the enclosed area? What is the area of the corral? Remember to justify your answer.
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Since one side of the corral will be formed by the barn and requires no fence, we only need to consider the three exterior fences and two interior fences. Show more…
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One side of the corral will be formed by a barn that requires no fence. Three exterior fences and two interior fences partition the corral into three rectangular regions. What dimensions of the corral maximize the enclosed area? What is the area of that corral? Dimensions: 50 ft, 200 ft Area: 10,000 ft² Dimensions: 50 ft, 50 ft Area: 2,500 ft² Dimensions: 50 ft, 200 ft Area: 40,000 ft² Dimensions: 400 ft Area: 40,000 ft²
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A farmer has 400 feet of fencing material available to make two identical, adjacent rectangular corrals for the farm animals, as pictured. If the farmer wants to maximize the total enclosed area, what will be the dimensions of each corral?
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