Thursday

October 23, 2014

October 23, 2014

Posted by **Mary** on Monday, March 5, 2012 at 7:52pm.

The maximum area that the farmer can enclose with 80 ft of fence is ___sq ft.

The dimensions of the garden to give this area is 40 ft by ____ft

- algebra -
**tom**, Monday, May 14, 2012 at 11:05amNormally the largest area is enclosed by a square but this is only when the perimeter is 4 sides. In this problem the barn is the forth side with the 80 ft of fence used for only three sides. The complication is that the barn can contribute any lenght for its side. So the barn length as a variable turns the problem into a second order equation or the quadratic.

- algebra -
**Anonymous**, Wednesday, June 20, 2012 at 8:32pmc15678e

- algebra -
**Lucas**, Tuesday, July 24, 2012 at 9:18amThe equations are 2x+y=80 and 2x=y. "x" being the widthof the fence coming off the barn and "y" being the length connecting those two pieces. When one side is as big as nessasary (aka the barn, river, wall, etc.) the length is double the width. The perimeter is usually defined =2x+2y, but in this case one y is already there so the equation 2x+y=80 (and 2x+y=40)works. Try that out :)

**Answer this Question**

**Related Questions**

word problem - A farmer decides to enclose a rectangular garden, using the side...

Math - A farmer decides to enclose a rectangular garden, using the side of a ...

Algebra - A farmer decides to enclose a rectangular garden, using the side of a ...

algebra - A farmer decides to enclose a rectangular garden, using the side of a ...

Algbera - Afarmer decides to enclose a rectangular garden, using the side of a ...

Algebra - a farmer wants to enclose a rectangle garden using the sides of her ...

College Algebra - A farmer wants to build a rectangular fence using the side of ...

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

Math - i am working with completing the square in parabolas and there's this ...

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