
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
A square has a side length of $s$. A rectangle is constructed using one side of the square as its base, such that the area of the rectangle is twice the area of the square. Calculate the height of the rectangle.

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