Posted by **Luke** on Sunday, October 26, 2008 at 3:02pm.

There is a long fence along the border of 2 mens property. 1 man is using the existing fence to make a cattle pen. He has 500 ft of fencing. Suppose the pen extends x ft away from the existing fence along the border. Find an expression for the area in terms of x.

- Math -
**drwls**, Sunday, October 26, 2008 at 3:25pm
The area that he encloses for the pen is x * L, where L is the length of the existing fence that he uses. The fence material that he has can cover a length

2 x + L = 500

The area enclosed is therefore

A = x L = x*(500 - 2x) = 500 x -1000 x^2

Are you supposed to choose x to maximize area? If so, set dA/dx = 0 and solve for x.

## Answer This Question

## Related Questions

- Geometry - A farmer wants to fence in a rectangular pen using the wall of a barn...
- Calculus - The Regional Farm Bureau (RFB) is preparing a brochure that offers ...
- Calculus - The Regional Farm Bureau (RFB) is preparing a brochure that offers ...
- calculus - if a farmer has 100 feet of fence and wants to make a rectangular ...
- math - a farmer has enough fencing to build 40 feet of fence. He wishes to build...
- math - Suppose you want to build an outdoor rectangular pen enclosed by fencing ...
- Calculus Follow Up - A farmer wishes to build a fence for 6 adjacent rectangular...
- algebra - A farmer has 25 yards of fencing to make a pig pen. He is going to ...
- College Algebra Word Problem - A rectangular dog pen is to be made to enclose an...
- Algebra ( QUAdratic) - a person plans to fence a pig pen with 100 meters of ...

More Related Questions