
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
The diagram shows two overlapping triangles: an isosceles triangle with an angle of \(120^{\circ}\) and an equilateral triangle with an area of 36. Two of the vertices of the equilateral triangle are midpoints of the equal sides of the isosceles triangle. What is the total area of the shaded regions (inside the isosceles triangle but outside the equilateral triangle)?

A) 24
B) 26
C) 28
D) 30
E) 32

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