
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
Given a rectangular park split into a trapezoidal lawn area and two congruent isosceles right triangle flower beds, the parallel sides of the trapezoidal lawn are 15 meters and 30 meters long. Calculate the fraction of the park's total area that is occupied by the flower beds.

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