
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 configuration, not drawn to scale, we have two equilateral triangular regions, $I$ and $III$, and a square region $II$. The area of region $I$ is $27\sqrt{3}$ square cm, and that of region $III$ is $12\sqrt{3}$ square cm. The area of square $II$ is $27$ square cm. The length of segment $AD$ (side of the square) is decreased by $15\%$, while the lengths of other regions remain the same. Calculate the percent decrease in the area of the square.
A) 25%
B) 27%
C) 27.74%
D) 30%

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