# Help with math homework

• Jan 22nd 2009, 02:17 PM
ATRTrivium
Help with math homework
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?

• Jan 22nd 2009, 03:00 PM
skeeter
Quote:

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?

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.
• Jan 22nd 2009, 03:14 PM
ATRTrivium
thanks a lot man (Happy)