
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 strips of width 2 overlap at an angle of 60 degrees inside a rectangle of dimensions 4 units by 3 units. Find the area of the overlap, considering that the angle is measured from the horizontal line of the rectangle.
A) $\frac{2\sqrt{3}}{3}$
B) $\frac{8\sqrt{3}}{9}$
C) $\frac{4\sqrt{3}}{3}$
D) $3\sqrt{3}$
E) $\frac{12}{\sqrt{3}}$

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