Question

\(PQRS\) is a square. The points \(T\) and \(U\) are the midpoints of \(QR\) and \(RS\) respectively. The line \(QS\) cuts \(PT\) and \(PU\) at \(W\) and \(V\) respectively. What fraction of the area of the square \(PQRS\) is the area of the pentagon \(RTWVU\)?

the square PQRS with the pentagon RTWVU marked

(A) \(\dfrac{1}{3} \quad\) (B) \(\dfrac{2}{5} \quad\) (C) \(\dfrac{3}{7}\quad\) (D) \(\dfrac{5}{12}\quad\) (E) \(\dfrac{4}{15}\)