
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
For a classroom project, Martin decides to design two kites, a medium kite and an extra-large kite, on a grid where points are spaced two inches apart. For his medium kite, he places it on the grid with the following vertices:

[asy]
for ( int x = 0; x <= 12; ++x )
{
    for ( int y = 0; y <= 10; ++y )
    {
        dot((x,y));
    }
}
draw((0,4)--(4,10)--(12,4)--(4,0)--cycle);
[/asy]

For his extra-large kite, he doubles the size of the medium kite while keeping the shape and proportions the same. Calculate the area of the medium kite.

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