This GRE quantitative question requires you to identify similar triangles and use this relationship to find the ratio of areas of two triangles.

In triangle $ABC$ shown above, $DE$ is parallel to $AB$. If the point $D$ divides the line segment $BC$ such that $BD$ is twice the length of $DC$, then what is the ratio of the area of triangle $ABC$ to triangle $EDC$ ?

- $\quad 3 \; \textrm{to} \; 1$
- $\quad 4 \; \textrm{to} \; 1$
- $\quad 6 \; \textrm{to} \; 1$
- $\quad 8 \; \textrm{to} \; 1$
- $\quad 9 \; \textrm{to} \; 1$