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IMAS 2016 — Junior — Round 1 Question 4

IMAS · IMAS 2016 — Junior — Round 1

Question 4

In the trapezium $ABCD$, $AB$ is parallel to $CD$. $E$ and $F$ are points on $AD$ and $BC$ respectively such that $EF$ is also parallel to $AB$. The area, in cm$^2$, of triangles $BAF$, $CDF$ and $BCE$ are 8, 7 and 18 respectively. What is the area, in cm$^2$, of $ABCD$?

Question illustration
  1. $30$
  2. $32$
  3. $33$
  4. $35$
  5. $36$