# Too easy to be tough

Geometry Level 3

$$ABCD$$ is a trapezium in which $$ABllCD$$. $$CD=30\text{ cm}$$ and $$AB=50\text{ cm}$$. If $$X$$ and $$Y$$ are midpoints of $$AD$$ and $$BC$$ then find the ratio of areas $$DCYX$$ and $$ABYX$$.

Constructions okay.

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