
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 quadrilateral has vertices $P(a,b)$, $Q(b,c)$, $R(-a, -b)$, and $S(-b, -c)$, where $a$, $b$, $c$ are positive integers with $a > b > c > 0$. The area of $PQRS$ is $20$. Determine the value of $a+b+c$.

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