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MathNet 2016-part-05 — 184 problems (EN–VI) Question 142

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 142

In the figure, $ABCD$ is a rectangle.
The area of triangle $DEC$ is $9\ \text{cm}^2$ and $BE = \frac{2}{5} BC$.
What is the area of $ABCD$ in $\text{cm}^2$?

Question illustration