Final answer:
The question contains inadequate and mixed details which prevent the calculation of the area of quadrilateral WXYZ. We require more information to determine the characteristics and location of WXYZ in rectangle ADEH.
Step-by-step explanation:
The provided question seems to contain mixed and irrelevant details that do not relate to a single coherent problem. Therefore, I am unable to give a decisive answer to the student's question about the area of quadrilateral WXYZ as the description provides fragments of different mathematical problems but does not sufficiently describe or identify quadrilateral WXYZ itself.
For a complete and correct response, we need adequate information that clearly defines quadrilateral WXYZ and how it fits into the geometry of rectangle ADEH. Without this crucial information, it is impossible to calculate the area of quadrilateral WXYZ accurately.