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# Fence It

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Age 11 to 14

Challenge Level

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?