A circle of radius 5 is inscribed in a rectangle as shown. The ratio of the the length of the rectangle to its width is 2:1. What is the area of the rectangle?[asy]
draw((0,0)--(0,10)--(20,10)--(20,0)--cycle);
draw(circle((10,5),5));
[/asy]<spanclass=′latex−bold′>(A)</span>50<spanclass=′latex−bold′>(B)</span>100<spanclass=′latex−bold′>(C)</span>125<spanclass=′latex−bold′>(D)</span>150<spanclass=′latex−bold′>(E)</span>200