A rectangle WXYZ and a circle are given. The circle is tangential to WX and WZ. Vertex Y lies on the circle. The circle crosses YZ in point A. Determine the area of the trapezoid WXAZ if WX=9 and WZ=8.
So I made a sketch:
But I can't stumble upon any idea. I thought about cutting the trapezoid somehow and applying Pythagorean theorem but it doesn't seem to work. Also finding the radius of the circle doesn't look easy.. How can I do this?