
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
Each vertex of a new parallelogram, also having integer coordinates, is located at $(1,3)$, $(6,8)$, $(13,8)$, and $(8,3)$. Calculate the perimeter $p$ and the area $a$ of this parallelogram, and find the value of the sum $p + a$.

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