
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
In the diagram, a square has a perimeter of 60 units and a right triangle has one leg of 20 units along the base. If the square and the triangle have the same area, what is the length of the other leg of the triangle, denoted as $y$?

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