A farmer has 64 yards of fencing and wants to create a rectangular enclosure for his animals. What dimensions will yield the greatest area? What is the greatest area?

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The dimensions that yield the greatest area is ussually square dimensions. However, since we want a rectangular enclosure, then the dimensions that yield the greatest area will be those that are close to dimensions of a square.

64 yards is the perimeter

perimeter =(l+w)2

l+w=64/2

l+w= 32

suppose the enclosure was a square

the 32 =2l

l=32/2 = 16

however since we want a rectangular enclosure we get the values of the nearest whole number to 16. This will be 17 and 15.

Therefore 17*15 will yield the greatest area.

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