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Australian AMC 2019 - Intermediate Question 13

AMC AUSTRALIA · Australian AMC 2019 - Intermediate

Question 13

Three equilateral triangles are joined to form the quadrilateral $ABCD$ shown.
The point $X$ is halfway along $CD$.
What fraction of the area of $ABCD$ is shaded?

Question illustration
  1. $\frac12$
  2. $\frac34$
  3. $\frac23$
  4. $\frac56$
  5. $\frac35$