# Problem of the Week Problem C A Square in a Square

In the diagram, $$PQRS$$ is a square. Points $$T$$, $$U$$, $$V$$, and $$W$$ are on sides $$PQ$$, $$QR$$, $$RS$$, and $$ST$$, respectively, forming square $$TUVW$$.

If $$PT=QU=RV=SW=4$$ m and $$PQRS$$ has area $$256\text{ m}^2$$, determine the area of $$TUVW$$.

Theme(s): Geometry, Number Sense