The squares on each side of a right-angled scalene triangle are constructed and three further line segments drawn from the corners of the squares to create a hexagon, as shown. The squares on these three further line segments are then constructed (outside the hexagon).
The combined area of the two equal-sized squares is 2018 cm.
What is the total area of the six squares?
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Maclaurin Mathematical Olympiad 2018 (2018)
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