A farmer plans to construct a rectangular pen for his sheep. He has 60 m fence to cover three sides with the remaining side being a brick wall. Advise him in using his amount of fence in a way which maximizes the space for his sheep. How should the farmer choose length l and width x from the wall, for this pen to achieve maximum area?
1. Retrieve the (quadratic) function f(x) which describes the area corresponding to x in a mathematical way. Graph this function f(x) for x running from 0 to 30.
2. Find the required width xmax which yields the largest area, and its corresponding length l as well.
3. Calculate this largest possible area up to 1 m2 precise.
1. Retrieve the (quadratic) function f(x) which describes the area corresponding to x in a mathematical way. Graph this function f(x) for x running from 0 to 30.
2. Find the required width xmax which yields the largest area, and its corresponding length l as well.
3. Calculate this largest possible area up to 1 m2 precise.