
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
Two guards oversee the order in a room, whose shape and dimensions are shown in the picture. Every two adjacent walls are perpendicular to each other, and the dimensions are given in meters. The guards stand close to the wall in places marked with squares. Together, they have the entire room under surveillance, but there is only a part of the room that both can oversee simultaneously.

a) Mark in the picture the part of the room that both guards can observe.

b) How many times is the entire room larger than the part that both guards can observe simultaneously?

(K. Pazourek)

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