
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
Calculate the total area enclosed by two right triangles in the coordinate plane.

The first triangle has vertices at points (3, 7), (3, 2), and (8, 2). The second triangle has vertices at points (-4, -1), (-1, -1), and (-1, -4).

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