
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
Genevieve decides to extend her school's annual Kite Olympics display with a unique rhombus design. For the smaller rhombus, she uses a grid with points spaced one inch apart. She forms the rhombus with vertices at points (1, 2), (6, 2), (3.5, 6), and (10, 2).

For the larger rhombus, she doubles the coordinates of all points on the rhombus.

Calculate the area of the smaller rhombus.

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