
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
To create a more challenging display for the Kite Olympics, Genevieve decides to modify her kite design slightly. She constructs a kite on a grid where each point is still one inch apart. The new kite has the following points on the grid:
[asy]
for ( int x = 0; x <= 10; ++x )
{
  for ( int y = 0; y <= 7; ++y )
  {
    dot((x,y));
  }
}
draw((0,5)--(5,7)--(10,5)--(5,0)--cycle);
[/asy]

The kite is still composed of two triangles. If the width of the entire grid for the large kite remains tripled, what is the number of square inches in the area of this new kite?

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