
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 create a new design for her kite display. In her revised design, the small kite has vertices at points on a grid where the distance between each point is one inch. The vertices are at the following coordinates on this new grid:
- (0,6), (4,8), (8,6), (4,1).

For her larger kite, Genevieve doubles the height and quadruples the width of the grid for the entire kite compared to the small kite.

Calculate the number of square inches in the area of the newly designed small kite.

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