
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
Consider a rectangle $ABCD$. Inside the rectangle, there are three non-overlapping squares. One of the squares is shaded and has an area of $4$ square inches. Each side of the larger square is three times the side of the shaded square. What is the area of rectangle $ABCD$ in square inches?

![Diagram similar to the original problem's diagram but adjusted to fit the new problem's conditions](https://via.placeholder.com/150)

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