
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 larger square with area 100. Points $P$, $Q$, $R$, and $S$ are midpoints of its sides. A rectangle is formed by joining these midpoints such that two of its adjacent sides are parallel to the diagonals of the square. What is the area of this rectangle?

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