[b]1)[/b] Play around with the applet to get a feel for the problem geometrically. What is the largest possible area for the rectangle? For what approximate values does this occur?[br][br][b]2)[/b] Can you set up your problem algebraically to verify your findings?[br][br][b]3)[/b] What has calculus got to do with all of this? Where might these methods be extended into real-world problems?[br][br][b]Summarise any key points at the bottom of the page.[/b]