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SMO 2025 Junior Round 1 Question 20

SMO · SMO 2025 Junior Round 1

Question 20

In the diagram below, $ABCD$ is a trapezium and $AB$ is parallel to $DC$. The angle bisector of $\angle BCD$ is perpendicular to $AD$ and intersects $AD$ at $E$ such that $DE=2AE$. If the area of the triangle $CED$ is 16 $cm^2$, find the area of the trapezium $ABCD$ in $cm^2$.

Question illustration