SOLUTION: A rectangular area borders on a stream. A farmer has 500 feet of fence and intends to use it all to fence in the other three sides. Write a function for the area of the region in t

Question 806716: A rectangular area borders on a stream. A farmer has 500 feet of fence and intends to use it all to fence in the other three sides. Write a function for the area of the region in terms of one of its sides, x. There is a picture that shows a rectangle with one side against a stream. The shorter pair of sides are labeled x and the long side isn't labeled but is parallel to the stream.
Found 2 solutions by richwmiller, Alan3354:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a=x*y
2x+y=500
x=y
3x=500
x=166 2/3
y=166 2/3
a=27,777.80 ft
A square gives the largest area

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A rectangular area borders on a stream. A farmer has 500 feet of fence and intends to use it all to fence in the other three sides. Write a function for the area of the region in terms of one of its sides, x. There is a picture that shows a rectangle with one side against a stream. The shorter pair of sides are labeled x and the long side isn't labeled but is parallel to the stream.
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Max area when fencing 3 sides --> length = 2*width.
I can prove that if you need to see it.
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--> 125 by 250 = 31250 sq feet

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