# 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

×