
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
If the perimeter of a rectangle is 6, and its area is 1, and two squares are constructed with the sides of the rectangle as their sides, calculate the sum of the areas of these two squares.

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