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Hanoi Open Mathematics Competition 2012 Junior Question 2

HOMC · Hanoi Open Mathematics Competition 2012 Junior

Question 2

Given a parallelogram \(ABCD\) of area \(12\text{ cm}^2\), the line through \(A\) and the midpoint \(M\) of \(BC\) meets \(BD\) at \(N\). Compute the area of quadrilateral \(MNDC\).
  1. \(4\text{ cm}^2\)
  2. \(5\text{ cm}^2\)
  3. \(6\text{ cm}^2\)
  4. \(7\text{ cm}^2\)
  5. None of the above.