A farmer wishes to enclose his armadillos into a rectangular region that will be bounded on one side of his barn. If the farmer has 140 feet of fence: Write a quadratic equation that would best model the area of the rectangular region. What is the maximum area of the rectangular region? What dimension(s) would yield an area of 2,000 square feet?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A farmer wishes to enclose his armadillos into a rectangular region that will be bounded on one side of his barn. If the farmer has 140 feet of fence: Write a quadratic equation that would best model the area of the rectangular region. What is the maximum area of the rectangular region? What dimension(s) would yield an area of 2,000 square feet?
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