
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 rectangle with length $3$ and width $1$ is divided into two congruent trapezoids and a pentagon, which have equal areas, by joining the center of the rectangle with points on three of the sides. Find $x$, the length of the longer parallel side of each trapezoid.
A) $0.75$
B) $1.25$
C) $1.5$
D) $1.75$

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