
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
A rectangular park includes two garden beds in the shape of congruent equilateral triangles and the remaining area is a trapezoidal walkway. The parallel sides of the trapezoid are $20$ meters and $30$ meters long. Determine the fraction of the park occupied by the garden beds.
A) $\frac{1}{24}$
B) $\frac{\sqrt{3}}{24}$
C) $\frac{1}{12}$
D) $\frac{\sqrt{3}}{12}$

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