
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
The edge length of the solid cube shown is 2. A single plane cut goes through the points Y, T, V, and W, which are midpoints of the edges of the cube, as shown. What is the area of the cross-section?

A) \(\sqrt{3}\)

B) \(3 \sqrt{3}\)

C) 6

D) \(6 \sqrt{2}\)

E) 8

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