
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 designs a new kite for another school event. On a grid where points are two inches apart, she draws a kite with vertices as shown below:

[asy]
for ( int x = 0; x <= 6; ++x )
{
for ( int y = 0; y <= 7; ++y )
{
dot((x,y));
}
}
draw((0,4)--(3,7)--(6,4)--(3,0)--cycle);
[/asy]

For a larger version of this kite, she doubles both the height and width dimensions of the grid. Calculate the number of square inches of the area of the original (small) kite.

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