A fence is to be built to enclose a rectangular area of 300 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material along the fourth side costs 12 dollars per foot. Find the length and width of the enclosure that is most economical to construct.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A fence is to be built to enclose a rectangular area of 300 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material along the fourth side costs 12 dollars per foot. Find the length and width of the enclosure that is most economical to construct.

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