
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 large rectangle is partitioned into four smaller rectangles by two segments, one parallel to its longer side and another parallel to its shorter side. If the areas of three of these rectangles are 24 square units, 48 square units, and 36 square units, and if the total length of the rectangle is known to be 20 units and the total width is 12 units, what is the area of the fourth rectangle?
A) 112
B) 120
C) 96
D) 108
E) 80

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