
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 square of side length $10$ cm. Points $P$ and $Q$ are midpoints on two opposite sides, and points $R$ and $S$ are midpoints on the remaining opposite sides. A rhombus is formed inside the square with vertices at $P$, $Q$, $R$, and $S$. Calculate the area of this rhombus.

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