
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 metal sheet is initially shaped as a rectangle whose length is twice its width. A circular piece of maximum size is cut out of this rectangular piece, and then a square piece of maximum size is cut out of the circular piece. What is the total amount of metal wasted?
A) $\frac{1}{4}$ the area of the original rectangle
B) $\frac{1}{2}$ the area of the original rectangle
C) $\frac{3}{4}$ the area of the original rectangle
D) $\frac{1}{4}$ the area of the circular piece
E) $\text{none of these}$

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