
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 rectangle, which is a special type of parallelogram, has vertices at the points (1,1), (1,5), (6,5), and (6,1). Calculate the perimeter and the area of this rectangle and find the sum of these two values.

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