
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 has sides measuring 3 units and 4 units. A new rectangle is formed where the base is the sum of the diagonal of the original rectangle and twice the larger side, and the height is the difference between the diagonal and the larger side. Find the area of the new rectangle.
A) $9 \text{ square units}$
B) $12 \text{ square units}$
C) $13 \text{ square units}$
D) $16 \text{ square units}$

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