
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
Two rectangles of dimensions $8 \mathrm{~cm}$ by $10 \mathrm{~cm}$ and $9 \mathrm{~cm}$ by $12 \mathrm{~cm}$ overlap. The area of the black region is $37 \mathrm{~cm}^{2}$. What is the area of the grey region?
A $60 \mathrm{~cm}^{2}$
B $62 \mathrm{~cm}^{2}$
C $62.5 \mathrm{~cm}^{2}$
D $64 \mathrm{~cm}^{2}$
E $65 \mathrm{~cm}^{2}$

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