Built with Processing

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This applet allows you to experiment with a classic calculus problem: given a certain amount of fencing, what is the largest possible area of a rectangular enclosure you can make? The enclosure may be a simple rectangle, or may have a specified number of partitions. There may also be a "river" or other contrivance which allow the construction of one side of the enclosure "for free".

You can set the amount of fencing, the number of enclosures and whether or not there is a river using the sliders at the bottom of the applet. Then vary the width of the enclosure, while watching the effect this has on the area.