
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
Two rectangles are used to form the letter T. The first rectangle is $3\:\text{inch}\!\times\!5\:\text{inch}$ and the second rectangle is $2\:\text{inch}\!\times\!6\:\text{inch}$. The $2\:\text{inch}\!\times\!6\:\text{inch}$ rectangle is placed vertically, and the $3\:\text{inch}\!\times\!5\:\text{inch}$ rectangle is placed horizontally at the middle of the vertical rectangle, such that 2.5 inches of the horizontal rectangle extends on either side of the vertical rectangle. Calculate the perimeter of the resulting T shape.

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