Question

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.

Answer 1

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

Answer 2

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.

Answer 3

Where did the 50 come from? What exactly does 50 represent?