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SASMO 2020 Grade 9 Question 15

SASMO · SASMO 2020 Grade 9

Question 15

In the diagram, $ABCD$ is a parallelogram and $\angle ACB=90^\circ$. Points $M,N$ lie on sides $AB,CD$ with $AM:MB=CN:ND=1:3$. Given $AC=MN=2$, find the area of $ABCD$.

Question illustration
  1. $2\sqrt3$
  2. 6
  3. $4\sqrt3$
  4. 8
  5. None of the above