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What dimensions should he use to have an enclosure of the largest possible area?
A farmer has 640 feet of fencing. He plans to enclose a rectangular region bordering a
River (with no fence along the river side). What dimensions should he use to have an Enclosure of the largest possible area? |
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Since there are only three sides, the perimeter is P=x+2y But this is equal to 640. So, we have x+2y=640 The area is A=xy Solve [1] for y (or x) and sub into A. It is now in terms of one variable. You can differentiate, or use |
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