
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
There are four unit squares arranged such that one square touches another at one vertex, forming a larger L-shape structure. Given that line segments connect the bottom left vertex of the bottom square to the top right vertex of the adjacent square and another line from this top right vertex to the bottom right vertex of the third square, calculate the area of the triangle formed by these vertices.
A) $\frac{1}{3}$
B) $\frac{1}{4}$
C) $\frac{1}{2}$
D) $\frac{2}{3}$
E) $\frac{3}{4}$

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