A polygon has a perimeter of 13 cm. What is the perimeter of its image after a size transformation with a scale factor of 3? Why?
To find the perimeter of the image after a size transformation with a scale factor of 3, we need to multiply the original perimeter by the scale factor of 3.
First, let's find the perimeter of the original polygon. The given perimeter is 13 cm.
Now, let's calculate the perimeter of the image. Since the scale factor is 3, it means that every side of the original polygon is multiplied by 3.
To find the perimeter of the image, we multiply the perimeter of the original polygon by 3.
Perimeter of the image = Perimeter of the original polygon x Scale factor
Perimeter of the image = 13 cm x 3 = 39 cm
Therefore, the perimeter of the image after a size transformation with a scale factor of 3 is 39 cm.
The reason behind this is that when we scale an object, all its dimensions, including the sides that make up the perimeter, are multiplied by the scale factor. In this case, since the scale factor is 3, each side becomes three times longer, resulting in a perimeter that is three times larger than the original perimeter.