
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
Karla has an isosceles triangle with a base of 10 inches and a height of 12 inches. She wants to divide this triangle into 10 equal-area pieces by drawing lines from the apex perpendicular to the base. Calculate the perimeter of the largest piece to the nearest hundredth of an inch.

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