Problem 1. What is the maximum area that can be enclosed by a
fence of fixed length if the fence is to be placed along a river
so that only three sides of the rectangular area will be fenced?
See the following diagram.  Problem 2. The frame for a kite is
to be made from six pieces of wood. The four exterior pieces
have been cut to the lengths indicated in the figure at the
right. To maximize the area of the kite, how long should the
diagonal pieces be? See the diagram at the right.  Problem 3.
Find the dimensions of the largest isosceles triangle that can
be inscribed in a circle of radius 4 centimeters.   Problem 4.
Find the length of the shortest ladder that will reach over an
8-foot high fence to a large wall that is 3 feet behind the
fence. See the diagram at the right.