Originally Posted by

**ATRTrivium** Hello everyone, this is my first post here. I have been trying to figure this out for a while now, and i have no idea what i am doing.

A farmer has $3600 to spend on fencing for three adjoining rectangular pastures, all with the same dimensions. A local contracting company tells the farmer that they can build the fence for $6.25/m. What is the largest total area that the farmer can have fenced for that price?

I could really use some help on this problem, please help!

make a sketch, and label the dimensions ...

Code:

x x x
**********************
* * * *
* * * * y
* * * *
**********************

cost of fence ...

$3600 = (6x + 4y)($6.25)

area of enclosures ...

A = 3xy

using the cost equation, solve for one variable in terms of another and substitute into the area equation in order to get area in terms of a single variable, then find the maximum area using the method(s) taught to you in class.