Can you explain the strategy for winning this game with any target?
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?
Can you explain how this card trick works?
methods for working out the areas of shapes may help.
Boxing in the
tilted squares, working out the area of the box and subtracting the
areas of the unwanted right-angled triangles:
tilted squares into right-angled triangles and squares and adding
the areas of the different parts: