A plank of wood has one end, A, against a vertical wall. Its other end, B, is on horizontal ground. When end A slips down 8cm, end B moves 4cm further away from the wall. When end A slips down a further 9cm, end B moves a further 3cm away from the wall. Find the length of the plank.
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Maclaurin Mathematical Olympiad (2023)
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