Are you smarter than me? 44

Geometry Level 5

Let \(\color{blue}{ABCD}\) be a quadrilateral in which \(\color{orange}{AB ~\parallel~ CD}\) and \(\perp\) to \(\color{purple}{AD}\) and \(\color{orange}{AB=3CD}\) And the area of quadrilateral is \(\color{blue}{4}\).If a circle can be drawn touching all the sides of the quadrilateral,find its radius

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