math
posted by joanna .
the challenge involves in dealing with the owner is to use a 20 meter fencing material to build a pig pen so that the owner will not be buying any additional materials considering also that one side of the pen is the outside wall of his garage? what is the dimension of this pig pen?

Some details of the question appear to be missing.
I'm assuming the pen is to be rectangular and further that you want to find the length and width that enclose the maximum possible area.
Let the width of the pen be x, so that the length is 203x the area (y) is:
y = 20 x 2 x^2
y' = 20 4 x
Maximum area exists when y'=0
Solve for x.
Respond to this Question
Similar Questions

math
a farmer has enough fencing to build 40 feet of fence. He wishes to build a rectangular pen nest to his barn wall forming one side of the pen. What dimension should he make the pen so as to enclose the greatest possibility area? 
Calculus optimization problem
A rectangular dog run is to contain 864 ft ^2. a. If the dog's owner must pay for fencing, what should be the dimensions of the run to minimize cost? 
algebra
Ian wants to build a rectangular pen for his animals. One side of the pen will be against the barn; the other three sides will be enclosed with wire fencing. If Ian has 450 feet of fencing, what dimensions would maximize the area of … 
Math, Quadratics
Farmer John is building a pen to keep his pig in. John has 40m of fencing. He will only need to make 3 sides to the pen because the 4th side will be along a barn. If John wants the maximum area what should the side lengths of the pen … 
algebra
please help me for this problem.im not good in math.the challenge involves in dealing with the owner is to use a 20 meter fencing material to build a pig pen so that the owner will not be buying any additional materials considering … 
PreCalc
A farmer is making a pig pen next to the barn. He has enough materials to build 50 feet of fencing. a)what is the largest area he can fence in? 
Math: pre calculus
a barn is 150 feet long and 75 feet wide. the owner has 240 ft of fencing and wants to construct two adjacent outdoor pens of identical size along the long side of the barn using the barn as one side of each pen. the owner wants the … 
math
Trent wants to build a rectangular pen for his animals. One side of the pen will be against the barn; the other three sides will be enclosed with wire fencing. If Trent has 400 feet of fencing, what dimensions would maximize the area … 
Algebra ( QUAdratic)
a person plans to fence a pig pen with 100 meters of fencing. Derive a function that determines the area of the pig pen that can be enclosed by the fencing [A(w)] with respect to the pig pens width w. find the maximum area of the pig … 
Math
You are designing a rectangular dog pen off the back of your house. The House will form one side of the dog pen. The pen is to have an area of 800 ft.² but you want to minimize the amount of fencing that you need for the three sides …