
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
Three rectangles are placed such that the dimensions of each rectangle are $4 \times 15$, $5 \times 10$, and $3 \times 18$. The first two rectangles overlap sharing a side of $4$ units, and all three rectangles overlap along a strip that is $3$ units wide and spans the entire $4$ units of the shared side between the first two rectangles. Calculate the total shaded area.
- **A)** $128$
- **B)** $136$
- **C)** $142$
- **D)** $150$
- **E)** $158$

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