Stage: 3 Challenge Level: 
A plot of land needs fencing to house some hens.
An existing red wall is to be used for the enclosure. The fencing will be attached at one end of the wall to the fence post marked X, as shown in the diagram:
If you have only $40$ metres of fencing available, determine the dimensions of the enclosure which will provide the hens with the maximum area.
Optimisation. smartphone. Interactivities. Graphs. Visualising. Area. Quadratic functions. Trial and improvement. Generalising. Working systematically.
Published January 2005.
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