SOLUTION: A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. What are the dimensions of the fie

Question 1103164: A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. What are the dimensions of the field that has the largest area?

Thank you!
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
For a rectangle,

In this case, the fence perimeter only has three sides of the rectangle,

Substituting into the area equation,

Get the area into vertex form by completing the square to find the max area.

So the max area occurs when and is equal to

So then from above,

Solve for L.

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