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.