
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
Alice has an isosceles triangle with a base of 10 inches and a height of 15 inches. She wants to slice it into five pieces that have equal areas. Calculate the number of inches in the largest perimeter among the five pieces if the divisions at the base are evenly separated.

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