
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 rectangles intersect such that their intersection is perpendicular. The first rectangle is 4 units wide and 12 units long, and the second rectangle is 5 units wide and 10 units long. If the overlapping region is a rectangle measuring 4 units by 5 units, what is the total shaded area in square units?
A) 52 square units
B) 66 square units
C) 78 square units
D) 88 square units
E) 100 square units

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