
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 piece of iron sheet is in the shape of a right-angled triangle, with the two legs measuring 40 cm and 60 cm, respectively. Now, it is to be cut into a rectangle, using the right angle of the triangle as one of the rectangle's corners. The maximum area of the rectangle is $\_\_\_\_\_\_\_\_$ cm<sup>2</sup>.

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