A rectangular area is to be enclosed with 12m of fencing.
A) what is the maximum area that can be enclosed if the fencing is used on all four sides. What are the dimensions of this optimal shape?
B) Suppose an existing hedge is used to enclose one side. Determine the maximum area that can be enclosed. What are the dimensions in this shape?
C) Suppose two perpendicular hedges enclose the area on two sides. What are the dimensions of the maximum area that can be enclosed?