
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
In the pentagon \( U V W X Y \), \(\angle U = \angle V = 90^\circ \), \( U Y = V W \), and \( Y X = X W \). Four equally spaced points are marked between \( U \) and \( V \), and perpendiculars are drawn through each point. The dark shaded region has an area of \( 13 \mathrm{~cm}^2 \) and the light shaded region has an area of \( 10 \mathrm{~cm}^2 \). What is the area, in \(\mathrm{cm}^2\), of the entire pentagon?
A) 45
B) 47
C) 49
D) 58
E) 60

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