Thursday

April 24, 2014

April 24, 2014

Posted by **Carolyn** on Monday, April 23, 2012 at 7:41pm.

- Algebra 2 -
**Damon**, Monday, April 23, 2012 at 8:04pmLength = 3 x, width = y

4 y + 6 x = 200 so y = (200-6x)/4

or y = (100 - 3x)/2

A = area of one of the three sections = x y

A = x (100-3x)/2 = 100 x/2 - 3 x^2/2

-2 A = 3 x^2 - 100 x

-(2/3)A = x^2 - (100/3)x

x^2 - (100/3)x + 2500/9 = -(2/3)A + 2500/9

(x - 50/3)^2 = -(2/3)A + 2500/9

(x - 50/3)^2 = -(2/3)[A - 416 2/3 ]

x = 50/3

3 x = length = 50

y = (100-3x)/2 = 25

total area = 50*25 = 1250

area of each pen = 1250/3 = xy = 416 2/3

**Related Questions**

math - a farmer has enough fencing to build 40 feet of fence. He wishes to build...

Mathematics - A farmer has both ducks and pigs in a pen together. There are a ...

math - a farmer wants to build a rectangular pen using a side of a barn and 60ft...

Math please help - A farmer has 120 feet of fencing available to build a ...

Calculus 2 - A farmer wishes to build a fence for 6 adjacent rectangular pens. ...

calculus optimization problem - A farmer has 460 feet of fencing with which to ...

calculus - Farmer Jones has 210 meters of fence. She wishes to construct a ...

algebra - Ian wants to build a rectangular pen for his animals. One side of the ...

math - A FARMER BUILT A PEN FOR HIS FAVORITE PIG. THE PEN SHOWN BELOW HAS AN ...

Calculus Word Problem - A farmer wishes to build a fence for 6 adjacent ...