
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 an isosceles trapezoid $\mathrm{ABCD}$, the bases $\mathrm{BC}$ and $\mathrm{AD}$ are 8 cm and 20 cm, respectively, and the angle $\mathrm{BAD}$ is $60^{\circ}$. Find the area of the quadrilateral formed by connecting the midpoints of the sides of the trapezoid.

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