In the figure above, the heavy broken line from \(P\) to \(R\) is composed of line segments that are parallel either to \(OR\) or \(OP.\) If the length of \(OP\) is \(x,\) and the length of \(OP\) is \(y,\) what is the total length of the heavy broken line from \(P\) to \(R?\)

A. \(\sqrt{x^2+y^2}\)
B. \(x+y\)
C. \(2(x+y)\)
D. \(x^2+y^2\)
E. \((x+y)^2\)

OA B