
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 shaded region consists of 24 congruent squares arranged in a rectangular grid. If $PQ = 10$ cm, where $PQ$ represents the diagonal of the rectangle formed by a 6x4 arrangement of these squares, what is the area of the entire shaded region?

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