
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
Six identical rectangles are arranged to form a larger rectangle $PQRS$, where the width of each smaller rectangle is $\frac{2}{5}$ of the length of the larger rectangle. If the area of $PQRS$ is $6000$, what is the length $x$, rounded off to the nearest integer?

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