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.
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