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SMO 2011 Senior Round 1 Question 5

SMO · SMO 2011 Senior Round 1

Question 5

In the figure, $ABC$ is a triangle, and $D,E$ are points on $AB,BC$, respectively. Given $DE\parallel AC$ and $CE:EB=1:3$, the area of $\triangle ABC$ is $1440\text{ cm}^2$ and the area of $\triangle ADE$ is $x\text{ cm}^2$. What is $x$?

Question illustration
  1. 288
  2. 240
  3. 320
  4. 384
  5. 270