# 1.4 Optimisation - Parabola and Rectangle

## Applet explorations

**1)**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?

**2)**Can you set up your problem algebraically to verify your findings?

**3)**What has calculus got to do with all of this? Where might these methods be extended into real-world problems?

**Summarise any key points at the bottom of the page.**

## Applet conclusions

Note any key points from this activity. How can this applet be used to develop our understanding of calculus?