# 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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