Copyright © University of Cambridge. All rights reserved.

## 'Fence It' printed from http://nrich.maths.org/

Imagine you had $40$ one-metre sections of fencing.

**What is the largest rectangular area of land you could fence off?**
Now imagine you could build your fence up against a wall, so you only need to use the fence for three sides of the enclosure:

**What is the largest area you can fence off now?**
Now imagine you can attach the fence to the wall shown below, at the point marked X.

**What is the largest area you can fence off now?**
**Extension**
Could you enclose even greater areas if you had $40$m of flexible wire fencing that could fence off curves as well as straight lines?