
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 construction where six identical squares and one rectangle are arranged to form a large square, with the rectangle spanning the complete width of the square along its top edge, determine the length of the rectangle in terms of its width.

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