Breaking A Trapezium Apart

Geometry Level 2

In the figure above, \(AB\) is parallel to \(CD\). If \(AB =4 \text{ cm}\) and \(AD=2 \text{ cm}\), angles \(D\) and \(C\) are \(30^\circ\) and \(60^\circ\) respectively. Find the area of the figure (in \(\text{cm}^2\)).

Give your answer to 3 decimal places.

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