*Some good mathematical projects.*

**THE LITTLE RED TRACTOR.**

**The little red tractor is happily cutting grass in a paddock which measures 100 metres by 100 metres. It cuts the paddock in a clockwise direction working in a spiral to cut all the grass without going over any part of the paddock more than once. The width of the cut is 2 metres, and this allows for a slight overlap which will ensure all the grass in the paddock is cut. **

**What is the minimum distance the little red tractor will need to travel so that all the grass in the paddock is cut?**

**How does the little red tractor cut the outside edges of the paddock? Have you taken this into account in your calculation of the total minimum distance?**

**If a paddock measured x metres by x metres what would be the minumum **

**distance to cut the grass then?**

**For a rectangular paddock measuring x metres by y metres what would be the minimum distance the little red tractor would have to travel, to cut all the grass.**