
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 trapezoid where each vertex has integer coordinates, the coordinates are (2,3), (7,3), (9,7), and (0,7). Calculate the perimeter of this trapezoid and its area. What is the sum of the perimeter and area?

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