Find the Area... Only Your Logic Can Help You...

Geometry Level 2

\(ABCD\) is a quadrilateral with \(AD=BC,\) \(AB=40,\) \(CD=20,\) and \({\color{blue}m\angle A} + {\color{orange}m\angle B} = 90^\circ.\)

What is the area of quadrilateral \(ABCD?\)

Hint: Consider how copies of \(ABCD\) can be constructed into another shape.

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