SOLUTION: A Farmer has 300 feet of fencing. He wants to enclose a rectangular area of 5000 square feet. What dimensions should he use?

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Question 621962: A Farmer has 300 feet of fencing. He wants to enclose a rectangular area of 5000 square feet. What dimensions should he use?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming he wants to use all the fence,
perimeter+=+2%2Alength+%2B+2%2Awidth
300+=++2%2Alength+%2B+2%2Awidth
150+=+length+%2B+width
150+-+width+=+length
area+=+length+%2A+width
5000+=+length+%2A+width
5000+=+%28150+-+width%29+%2A+width
5000+=+150w+-+w%5E2
w%5E2+-+150w+%2B+5000+=+0
%28w-50%29%28w-100%29=+0
so width is either 50 or 100
substituting that back in for length, says the length is either 50 or 100 as well.
So length = 100, width = 50