
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 square garden that encompasses two smaller flower beds, each in the shape of an equilateral triangle. The non-flower bed part of the garden is shaped like a trapezoid. The lengths of the parallel sides of the trapezoid are 18 meters and 30 meters. Calculate the fraction of the garden occupied by the flower beds.
A) $\frac{\sqrt{3}}{40}$
B) $\frac{\sqrt{3}}{45}$
C) $\frac{\sqrt{3}}{50}$
D) $\frac{\sqrt{3}}{55}$

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