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2016 TIMC keystage3-IWYMIC individual Question 12

xIMC · 2016 TIMC keystage3-IWYMIC individual

Question 12

The diagram below shows a square $ABCD$ of side length 234 cm. The rectangles $CDPQ$ and $MNST$ are congruent. Find the length, in cm, of $CM$.

Question illustration

Figure note: The complete original diagram is taken from the official Traditional Chinese edition, because the supplied English PDF clips and omits its lower portion. The English question wording above is retained.

Answer entry: Give the exact expression; write sqrt(3) for $\sqrt3$.