Two similar figures have a scale factor of 3.7. How much larger is the perimeter of the larger? How much larger is the area of the larger figure?

1 Answer

Perimeter is 3.7 times larger.
Area is 13.69 times larger.

Explanation:

(This might be a bit confusing.)

The following is an example.

Look at the image. Triangle UVW has a perimeter of 12. The scale factor is 4, meaning that the sides of triangle XYZ are 12, 16, and 20. The perimeter is 48.
Triangle UVW has an area of 6. Triangle XYZ has a perimeter of 96, which is 42.

Try this with any similar shapes, it works every time.

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