
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 polygon, which includes a rectangle and a right triangle, has a rectangle with sides 6 units and 4 units. The right triangle shares one of its legs with one side of the rectangle and has the other leg running along an extension of one of the rectangle's sides. The length of the non-rectangle side (hypotenuse) of the triangle is 5 units. Calculate the total perimeter of this polygon.

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