
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
Points $P$, $Q$, $R$, and $S$ are midpoints of the sides of a larger rectangle. If the larger rectangle has an area of 48, and the ratio of length to width of the rectangle is 3:2, what is the area of the smaller rectangle formed by connecting points $P$, $Q$, $R$, and $S$?

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