
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
What percent of square $ABCD$ is shaded if $ABCD$ is a square with side length 7? All angles in the diagram are right angles, and shaded regions include:
- A smaller square in the bottom left corner with side length 2.
- A medium square from the bottom left corner with one vertex 4 units away from the left side and another vertex 4 units away from the bottom side.
- A large area from the bottom left corner with one vertex 6 units away from the left side and another vertex 6 units away from the bottom side.

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