
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
Sides $AB, BC, CD$ and $DA$ of convex polygon $ABCD$ have lengths 6, 8, 5, and 10, respectively, and $\angle CBA$ is a right angle. The tangent of angle $\angle ACD$ is $\frac{4}{3}$. Find the area of quadrilateral $ABCD$.
- **A)** 36
- **B)** 40
- **C)** $\frac{122}{3}$
- **D)** 50
- **E)** 60

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