
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 shapes, a rectangle and a parallelogram, intersect on a plane. The rectangle has dimensions 4 units by 12 units, and the parallelogram, which is slanted but retains a height of 4 units throughout, has a base of 10 units. The parallelogram intersects such that it completely overlaps a 4 unit by 4 unit square portion of the rectangle. Calculate the total shaded area where the rectangle and parallelogram overlap.
A) 50 square units
B) 64 square units
C) 72 square units
D) 88 square units

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