Area, rectangular yard, 64yrds of fence

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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?

Aug 27th, 2015

Thank you for the opportunity to help you with your question!

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.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 27th, 2015

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Aug 27th, 2015
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