
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 rectangle experiences two transformations that keep its area unchanged. In the first case, it is made $3 \frac{1}{2}$ inches longer and $1 \frac{1}{2}$ inches narrower, and in the second case, it is made $3 \frac{1}{2}$ inches shorter and $2$ inches wider. What is its area, in square inches?
A) 610
B) 620
C) 630
D) 640
E) 650

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