
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
On a 7x7 square grid, where each dot is spaced 1 cm apart both horizontally and vertically, calculate the product of the area and the perimeter of square PQRS. Each side of the square is formed as follows: point P is at (1,6), Q is at (6,6), R is at (6,1), and S is at (1,1) on the grid.

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