
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 trapezoidal field with one pair of parallel sides of lengths 15 meters and 9 meters respectively is part of a rectangular plot. The non-parallel sides of the trapezoid are equal and perpendicular to the parallel sides, and the trapezoid fills one end of the rectangle. Given that the longer parallel side of the trapezoid is also the length of the short side of the rectangle, and the total perimeter of the rectangle is 52 meters, calculate the perimeter of the trapezoidal field.

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