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SASMO 2020 Grade 5 Question 13

SASMO · SASMO 2020 Grade 5

Question 13

In rectangle $ABCD$, point $E$ is on side $AB$ and point $F$ is on side $AD$ such that $BE=\frac13 AE$ and $DF=\frac25 AD$. What is the ratio of the areas of $ABCD$ and $FEBCD$?

Question illustration
  1. 40 : 31
  2. 15 : 13
  3. 48 : 35
  4. 15 : 14
  5. None of the above