
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 of $2$ is divided into two equal-area regions: a trapezoid and a hexagon, by joining the center of the square to points on two of the sides. Find $x$, the length of the longer parallel side of the trapezoid.
A) 1
B) 1.5
C) 2
D) 2.5
E) 3

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