
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 $P(a,b)$, $Q(b,a)$, $R(-a, -b)$, and $S(-b, -a)$, where $a$ and $b$ are integers and $a > b > 0$. If the quadrilateral $PQRS$ is still a rectangle, and its area has been changed to $32$, what is the value of $a+b$?
A) 5
B) 6
C) 8
D) 10
E) 12

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