
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 the given diagram, there are three squares with non-overlapping interiors within rectangle $ABCD$. The area of each of the small shaded squares is 4 square inches. What is the area of rectangle $ABCD$, in square inches?

[asy]size(100);
pair A = (0,0), D = (4,0),C = (4,4),B = (0,4);
draw(A--B--C--D--cycle);
draw(A--(2,0)--(2,2)--(0,2)--cycle);
filldraw(B--(2,4)--(2,2)--(0,2)--cycle,gray(.6),black);
label("$A$",A,WSW);
label("$B$",B,WNW);
label("$C$",C,ENE);
label("$D$",D,ESE);[/asy]

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