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SASMO 2022 Grade 8 Question 15

SASMO · SASMO 2022 Grade 8

Question 15

In square $ABCD$, points $E$ and $F$ lie on sides $AD$ and $CD$, respectively, with $3DE=3FC=AB$. Segments $BF$ and $CE$ intersect at $G$. If the square has area $180\text{ cm}^2$, what is the area (in $\text{cm}^2$) of quadrilateral $EDFG$?

Question illustration
  1. 9 cm²
  2. 18 cm²
  3. 27 cm²
  4. 36 cm²
  5. None of the above