
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 rectangle $PQRS$, with coordinates $P=(10, -30)$, $Q=(2010, 170)$, $S=(12, y)$ for some integer $y$, calculate the area of the rectangle.
A) 4000
B) 4040
C) 4400
D) 40,000
E) 40,400

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