
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
Inside triangle $ABC$, point $P$ is chosen such that lines drawn parallel to the sides of the triangle through point $P$ divide the triangle into 3 triangles and 3 parallelograms. The areas of the resulting triangles are 4, 9, and 49 square units. What is the area of the original triangle?

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