
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 garden measures 30 meters by 10 meters. It contains three garden beds in the shape of congruent right triangles arranged in a line, and the remainder of the garden forms a trapezoidal shape. The shorter parallel side of the trapezoid is 20 meters long, and the longer side is 30 meters long. Calculate the fraction of the garden occupied by the triangle beds.
A) $\frac{1}{36}$
B) $\frac{1}{30}$
C) $\frac{1}{18}$
D) $\frac{1}{24}$
E) $\frac{1}{12}$

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