
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 side length $2$ units is divided into two congruent trapezoids and a smaller square at the center by connecting the center of the square to the midpoints of each side of the square. Find the length of the longer parallel side of each trapezoid.

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