
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 with sides of length 3 cm and 4 cm, construct a new rectangle where one dimension equals the diagonal of the original rectangle, and the other dimension equals the sum of the original rectangle's sides. Determine the area of the new rectangle.

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