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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 $\text{ABCDEF}?$

  1. $\frac{1}{12}$
  2. $\frac{1}{6}$
  3. $\frac{1}{24}$
  4. $\frac{1}{18}$
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