
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 $2$ units is divided into a smaller central square and two congruent trapezoids by connecting the midpoint of each side to the center of the square. If the areas of the central square and each trapezoid are equal, find $x$, the length of the longer parallel side of one of the trapezoids.
A) $0.5$
B) $1$
C) $1.5$
D) $2$

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