Rectangle \(STUV\) has \(P\) on \(ST\), \(R\) on \(SV\), and \(Q\) inside the rectangle such that \(PQRS\) is a square. When square \(PQRS\) is removed from rectangle \(STUV\), the remaining shape has an area of \(92\text{ m}^2\).
If \(PT = 4\text{ m}\) and \(RV=8\text{ m}\), what is the area of rectangle \(STUV\)?