Posted by **Madeline** on Wednesday, February 26, 2014 at 2:26am.

A farmer needs to build a rectangular corral for his animals. He has 200 yards of fencing available. He needs to make 4 pens. What is the largest corral he can create? (Remember the pens also count as a part of the perimeter, not just the outside of the corral)

- College Algebra -
**Steve**, Wednesday, February 26, 2014 at 6:47am
depends on the configuration of the pens. A longs skinny corral with 4 pens in a row? Or a rectangular corral with a 2x2 arrangement of pens?

If the first, then we have two lengths and 5 widths.

2x+5y = 200

area = xy = x(200-2x)/5 = -2/5 x^2 + 40x

the vertex of the parabola is at x=40/(4/5) = 50

So, the corral is 50 by 25

If the pens are in a grid, then we have 2 length and 3 widths:

2x+3y = 200

area = xy = x(200-2x)/3 = -2/3 x^2 + 200/3 x

The vertex is now at x=50, so the corral is 50 by 33.33

Looks like the square-ish pen is bigger.

- College Algebra -
**nicole**, Wednesday, February 26, 2014 at 6:32pm
write the equation for the line that passes through the point (-4,7) and is perpendicular to 3y-8=x-4. leave equation in thw point-slope form show all work

## Answer this Question

## Related Questions

- area and perimet - Farmer Brown has 700 yards of fencing with which to build a ...
- cal - a rancher has 4000 feet of fencing for constructing a rectangular corral. ...
- pre calculus - A farmer will be adding a rectangular corral to his barn. He has ...
- College Algebra - A rancher wishes to enclose a rectangular partitioned corral ...
- Algebra - A rancher wishes to enclose a rectangular partitioned corral with 1932...
- Precalculus - I have a diagram that has 4 rectangular corrals joined together ...
- Algebra - Word Problems: 1. A farmer has 2400 feet of fencing and wants to fence...
- Algebra - John wants to build a corral next to his barn. He has 300 feet of ...
- Precalculus - A barn has 150 feet of fencing and there are 3 rectangular corrals...
- Geometry - A farmer has 52 meters of fencing to make a rectangular corral. If ...