Discovering relations between area and circumference.

Try to construct an optimal area ABCD using fence of fixed length L. 1) Which choice of x gives maximum area ? 2) How can you find it ? 3) How much more area can you get using the wall ? 4) Can you think of a shape yielding a bigger area than a rectangle
Examine position of poles A,B,C and D in rectangle ABCD. Lets start by assuming L is the length of the circumfering fence and thus ; and . Tips: - ABCD can be moved about with point A (looks like O ). - Check [x] visualize to place ABCD on to the image. - Toggle Trace ON/OFF with the button and clear with Ctrl-F.