Friday

November 28, 2014

November 28, 2014

Posted by **Emily** on Tuesday, September 22, 2009 at 12:07am.

It gives no diagram whatsoever, so I have no idea if all the sides are the same length or not, etc etc... Can someone show me how to work out this problem please? Any help is GREATLY appreciated!! :D

- Precalculus -
**MathMate**, Tuesday, September 22, 2009 at 12:33amThe fence will look like a letter E. The open end of the letter E is the face of the barn.

It does not matter which length x stands for, as long as the total length of the fence is 132 m.

Let x be one of the three equal sides, and the length of the barn fenced in is 132-3x.

Total area

A(x) = x(132-3x)

A'(x) = 132-6x =0

Therefore x=132/6=22 m

The area is x(132-3x)=22(66)=1452 m²

check: A"(x) = -6 <0, therefore maximum.

- Precalculus -
**Emily**, Tuesday, September 22, 2009 at 12:43amOhhhh I totally get it now!!! Thanks! :D

- Precalculus :) -
**MathMate**, Tuesday, September 22, 2009 at 6:43amGlad that it helped! :)

**Answer this Question**

**Related Questions**

math anaylsis - A rectangular pasture is subdivided into two equal pens. Using ...

Algebra - SOlve you have 78 feet of fencing to enclose a rectangular pasture by ...

Algebra 2 - A farmer has 120 ft. of fencing available to enclose 2 adjacent ...

algebra - A pet boarding facility wants to build two adjacent pens of equal size...

math - A farmer plans to enclose a rectangular region, using part of his barn ...

math - a rectangular garden with an area of 2112 square feet is to be located ...

word problem - a farmer has 800 yards of fencing to enclose a rectangular ...

Calc 1 - A farmer with 700 ft of fencing wants to enclose a rectangular area and...

Precalculus - There are 4 rectangular corrals of identical dimensions along the ...

Calculus - A farmer has 120 meters of wire fencing to make enclosures for his ...