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A triangular piece of rubber is stretched equally from all sides, without distorting its shape, such that each side of the enlarged triangle is twice the length of the original side.

The area of the triangle increases decreases to twofour times the original area.

When the sides of a geometric shape, like a triangle, are scaled by a factor, the area of that shape is scaled by the square of that factor.

In this case, each side of the triangle is doubled. So, the scaling factor for the sides is 2.

To find how the area changes, you square the scaling factor:

\[
\text{Scaling factor for area} = 2^2 = 4
\]

Thus, the area of the triangle becomes four times the original area.

### Correct answer:
The area of the triangle **increases** to **four** times the original area.

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Here are 5 related questions for further exploration:
1. What happens to the perimeter of the triangle when its sides are doubled?
2. How does the

A triangular piece of rubber is stretched equally from all sides, without distorting its shape, such that each side of the enlarged triangle is twice the length of the original side. The area of the triangle increases or decreases to two or four times the original area.

Explore how scaling the sides of a triangle affects its area. In this problem, a triangular piece of rubber is stretched equally, doubling the side lengths. Learn how to calculate that the area increases to four times the original size using geometric scaling principles. Suitable for students in Grades 8-10.

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