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If I figure is dilated by a factor of $6$ , the perimeter of the figure will change by a factor of what

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Exponential growth and decay: word problems

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Q. If I figure is dilated by a factor of

6

, the perimeter of the figure will change by a factor of what

Understand Dilation Concept: Understand the concept of dilation in geometry. Dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The scale factor of dilation tells us how much larger or smaller the image will be compared to the original figure.
Determine Perimeter Impact: Determine how dilation affects the perimeter of a figure. The perimeter of a figure is the total distance around the figure. When a figure is dilated, each side of the figure is multiplied by the scale factor. Therefore, the perimeter of the dilated figure will also be multiplied by the same scale factor.
Apply Scale Factor: Apply the scale factor to the perimeter. $\newline$ Since the figure is dilated by a factor of $6$ , the perimeter of the figure will also be multiplied by $6$ . This means the perimeter of the dilated figure will be six times larger than the perimeter of the original figure.

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