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IMAS 2020–2021 Junior Division — First Round Question 4

IMAS · IMAS 2020–2021 Junior Division — First Round

Question 4

In the figure, the area of triangle $ABC$ is 2020 cm$^2$. If points $D$, $E$ and $F$ are on sides $BC$, $BA$ and $AC$, respectively, such that $CDEF$ is a parallelogram and its area is $\frac{50}{101}$ of triangle $ABC$. What is the area, in cm$^2$, of the shaded region?

Question illustration
  1. $100$
  2. $500$
  3. $505$
  4. $1000$
  5. $1010$