
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 hexagonal table has a side length of 5 units. Eight rectangular placemats are placed with their longer edges aligned along the edge of each side of the table. Each placemat has width 2 units and length \( y \). The corners of each placemat lying along the edge of the table touch the corners of adjacent placemats. Determine the length \( y \) of each placemat.
A) \( 3.25 \) units
B) \( 3.50 \) units
C) \( 3.75 \) units
D) \( 4.00 \) units

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