Asked by hans

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 pen that can be enclosed by the fencing.
Answered by hans
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 pen that can be enclosed by the fencing.
plS ANSWER
Answered by Steve
If the width is w, the length must be 50-w.

So, the area is

a = w(50-w)
The maximum area is achieved when x=25. You can find what it is.

Note that the max area is when the rectangle is a square.
Answered by Laurie
Where did the 50 come from? What exactly does 50 represent?
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