Problem 376

The point $P(-1,4)$ is reflected in the $y$-axis to become $Q$. The point $Q$ is reflected in the line $y=x$ to become $R$. The point $R$ is reflected in the $x$-axis to become $S$. What is the area of quadrilateral $PQRS$? (A) $4$ (B) $4\sqrt{2}+2$ (C) $6$ (D) $4+2\sqrt{2}$ (E) $8$