
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 with a side length of 10 is cut into two rectangles in such a manner that the length of one rectangle is twice the length of the other. Express the dimensions of the smaller rectangle in terms of length and width.

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