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An Unusual Shape printable sheet
Stuart tethered his goat to one end of a $20$-foot length of rope and attached the other end of the rope to a hook fixed to the side of his shed.
When he came back the goat had eaten all the grass within its reach.
Here is a picture showing the region eaten by the goat:
Where did Stuart fix the rope?
What was the area grazed by the goat?
Could the goat have eaten more grass if the rope had been attached to a different point on the shed?
Imagine you are suspending a cube from one vertex and allowing it to hang freely. What shape does the surface of the water make around the cube?
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?