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A 16 cm by 9 cm piece of card can be cut into two pieces which can be rearranged to form a 12 cm by 12 cm square. Explain how this can be done.
Find the dimensions of other rectangles that can be cut into exactly two pieces and rearranged to form a square.
Can you explain the strategy for winning this game with any target?
Is there an efficient way to work out how many factors a large number has?
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?