
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
Calculate the sum of the distances from one vertex of a rectangle with sides of lengths $3$ and $5$ to the midpoints of each of the sides of the rectangle.
A) $11.2$
B) $12.4$
C) $13.1$
D) $14.5$
E) $15.2$

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