SOLUTION: A farmer has 400 feet of fencing. He wants to fence off a rectangular field that borders a straight river (no fence along the river). What are the dimensions that will give him the

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Question 727525: A farmer has 400 feet of fencing. He wants to fence off a rectangular field that borders a straight river (no fence along the river). What are the dimensions that will give him the largest area? Please check to see if I have the right answer. Thanks.
A=(400-2w)w
A= -2w^2+400w
-b/2a=-400/-4=100 width
l=400-2(100)
l=200
dimensions are 200ft by 100ft

Found 2 solutions by richwmiller, Alan3354:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a square yields the largest area.
the 400 ft will cover three equal sides
400/3=133.33 for each side

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A farmer has 400 feet of fencing. He wants to fence off a rectangular field that borders a straight river (no fence along the river). What are the dimensions that will give him the largest area? Please check to see if I have the right answer. Thanks.
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You're correct.