In quadrilateral \(ABCD,\) sides \(AB\) and \(BC\) each have length \(\sqrt2,\) while side \(CD\) has length \(2.\) What

[VJesus12]

In quadrilateral \(ABCD,\) sides \(AB\) and \(BC\) each have length \(\sqrt2,\) while side \(CD\) has length \(2.\) What is the area of quadrilateral \(ABCD?\)

(1) The length of side \(AD\) is \(2.\)
(2) The angle between side \(AB\) and side \(BC\) is \(90^{\circ}.\)

Answer: E

Source: Manhattan GMAT