
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
Given the points (0,3), (5,0), and (2,6), (5,0), calculate the area of the trapezoidal region enclosed by the two lines determined by these points after they intersect with each other and the x-axis.

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