https://file.aiquickdraw.com/mathbot/file/17266686266458ecrijt9.jpg

The problem in the image asks:

"A triangle has an area of 12 square centimeters. What is the area of a scaled copy that used a scale factor of 2?"

To find the area of the scaled triangle, you apply the square of the scale factor to the original area. The scale factor is 2, so the area of the scaled triangle is:

\[
\text{Scaled Area} = (\text{Scale Factor})^2 \times \text{Original Area}
= 2^2 \times 12 = 4 \times 12 = 48 \, \text{square centimeters}.
\]

Thus, the area of the scaled triangle is **48 square centimeters**, corresponding to the blue option in the image.

Would you like further details on this concept or have any questions? Here are some related questions to explore:

1. How does scaling affect the perimeter of a triangle?
2. What happens to the area if the scale factor is 3 instead of 2?
3. How do you calculate the volume of a scaled 3D object?
4. What if the scale factor was a fraction, such as 1/2? How would the area change?
5. How is the scale factor applied differently to linear dimensions versus area?

**Tip**: When scaling an object, linear dimensions change by the scale factor, while area changes by the square of the scale factor!

A triangle has an area of 12 square centimeters. What is the area of a scaled copy that used a scale factor of 2?

Find the area of a triangle's scaled copy with a scale factor of 2. Learn how to apply the square of the scale factor to calculate areas in geometry. Suitable for Grades 7-8 students.

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