
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
The base of a new rectangle is twice the product of the smaller side and the larger side of a given rectangle, while the altitude of the new rectangle is half the product of the diagonal and the smaller side of the given rectangle. Calculate the area of the new rectangle.

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