
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
A point is selected randomly inside a square. Perpendiculars are drawn from this point to each of the four sides. Let's denote these perpendiculars as \(d_1, d_2, d_3,\) and \(d_4\). What does the sum of these perpendiculars equal to?
A) \( s \)
B) \( \frac{s}{2} \)
C) \( 2s \)
D) \( 4s \)
E) \( s^2 \)

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