My rabbit Nibbles lives in a moveable pen and helps to keep the grass short. The pen is rectangular and measures 3m by 2m, as shown in the diagram, where the arrow indicates North. On successive days, the pen is moved 1m East, 2m South, 1m West and 2m North.
What is the total area, in square metres, of the region of grass which Nibbles can nibble?
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Junior Mathematical Challenge 2002 (2002)
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