
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
In a new diagram, the grid is made up of squares with different dimensions. What is the area of the shaded region? The grid has the following structure:
- The bottom rectangle is 3 units high and 5 units wide.
- The middle rectangle is 4 units high and 7 units wide.
- The top rectangle is 5 units high and 12 units wide.
The shaded region is the entire grid minus a right-angled triangle with a base of 12 units and a height of 5 units.

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