Easy but VERY indirect!!!

Geometry Level 3

In the figure, X is a point in the interior of square ABCD. DXY is a right angled triangle with angle DXY= \( 90^{0} \) and area \( 2 unit^{2} \). AY || XD. YA = 3 units and YD = \( 2\sqrt{2} \) units. If the length of CY can be expressed as \( \sqrt{Z} \), find the value of Z.

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