
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
Consider a rectangular prism with dimensions length $2$, width $1$, and height $3$. A plane slices through diagonally opposite vertices $P$ (at $(0,0,0)$) and $Q$ (at $(2,1,3)$), and through midpoints $R$ (midpoint of the edge from $(0,1,0)$ to $(0,1,3)$) and $S$ (midpoint of the edge from $(2,0,0)$ to $(2,0,3)$). Find the area of quadrilateral $PQRS$.
A) $\frac{\sqrt{14}}{2}$
B) $\frac{\sqrt{45}}{2}$
C) $\frac{5}{8}$
D) $\frac{\sqrt{70}}{2}$
E) $\frac{3}{2}$

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