
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 yard measures 30 meters by 6 meters and contains two flower beds shaped as congruent isosceles right triangles. The parallel sides of the trapezoidal remainder of the yard measure 20 meters and 30 meters. Find the fraction of the yard occupied by the flower beds.

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