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Australian AMC 2012 - Junior Question 22

AMC AUSTRALIA · Australian AMC 2012 - Junior

Question 22

The square $PQRS$ has sides of 3 metres. The points $X$ and $Y$ divide $PQ$ into 3 equal parts.

Question illustration

Find the area, in square metres, of $\triangle XYZ$.
  1. $\frac38$
  2. $\frac12$
  3. $\frac3{16}$
  4. $\frac13$
  5. $\frac14$