
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Consider a clock painted over a rectangular face where the length of the rectangle is triple the height (assume length = 3 units and height = 1 unit). The rectangle is divided by lines from the center to respective "hour positions" such that they create 24 equal angles (each angle 15 degrees). If $t$ represents the area of one of the twelve triangular regions formed near the center (like between the 12 o'clock and the 1 o'clock positions), and $q$ is the area of one of the twelve trapezoidal regions between the triangles, find the ratio $\frac{q}{t}$.
A) 15.1
B) 16.2
C) 17.3
D) 18.4

Present the answer in LaTex format: \boxed{Your answer}
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