Posted by **Ravneet Gill** on Tuesday, October 1, 2013 at 12:42am.

a farmer wants to build two pens (one for cows, the other for horses) on land by a straight road. There is already a fence along the road and the farmer has 800m of fencing to build his fence to enclose the pens and seperate them as shown in the diagram below. what is the maximum area of the lot?

- Pre-Calc - incomplete -
**Steve**, Tuesday, October 1, 2013 at 3:57am
no diagram. more text, please.

- Pre-Calculas 11 -
**Graham**, Tuesday, October 1, 2013 at 4:06am
I cannot see the diagram, so I am going to assume the new fencing is formed into an 'E' shape, with the opening pressed up against the existing fence line. That is: one long side (l), two short sides and the divider (3w).

The fence length is:

800 = 3w + l

So the area is :

A = l w

A = 800 w - 3 w^{2}

The maximum area will be the value of the vertex of this parabola. Find w of this point.

- Pre-Calculas 11 -
**ravneet gill**, Tuesday, October 1, 2013 at 12:07pm
There is no diagram given its just what the question says. There is no other info

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