
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
There are two square areas of paving that need to be covered with square tiles each of size $1 \mathrm{~m}^{2}$. A total of 2120 tiles are required for this job. The side length of one area is 12 meters longer than the side length of the other area.

What are the dimensions of each area?

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