
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 parallelogram $\text{WXYZ}$, point $\text{T}$ is on side $\text{WY}$ such that $\text{WT} = 2\text{TY}$. The base $\text{WX}$ of the parallelogram is $15$ meters, and the height from $\text{W}$ to side $\text{XZ}$ is $10$ meters. Calculate the area of the shaded region $\text{TXZ}$.
A) 50 square meters
B) 100 square meters
C) 150 square meters
D) 175 square meters

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