In the figure below, $\text{ABCDEF}$ is a rectangular hexagon and $\measuredangle \text{AOF} = 90^{\circ}$ is parallel to $\text{ED}.$ What is the ratio of the area of the triangle $\text{AOF}$ to that of the hexagon $\text{ABCDEF}?$
- $\frac{1}{12}$
- $\frac{1}{6}$
- $\frac{1}{24}$
- $\frac{1}{18}$