\(ABCD\) 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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