
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
Given a rectangle \( R_1 \) with length 6 and width 4, each corner is connected diagonally to the opposite corner, and a smaller rectangle \( R_2 \) is constructed using the intersection points of these diagonals as vertices. The same process is carried out on \( R_2 \) to construct \( R_3 \). What is the area of \( R_3 \)?
A) 5.5
B) 6
C) 6.5
D) 7
E) 7.5

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