A farmer has an 80m length of fencing. He wants to use it to form
three sides of a rectangular enclosure against an existing wall which
will be the fourth side.
a) Denote the length of one of the sides by x, what is the area of
the enclosure?
b) By use of differentiation or otherwise and the maximum area of
the enclosure.
I do not know how I can get the answer by using differentiation .. Help me please !
Hint: If you decide to forego the calculus in lieu of "otherwise," then find the axis of symmetry of the resulting parabolic area function.
Have you made a sketch? Have you determined the area as a function of one variable?