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?

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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?

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Answer 1 · 2018-05-24T01:05:36

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

Explanation:

(This might be a bit confusing.)

The following is an example.

Look at the image. Triangle UVW has a perimeter of $12$ $12$ . The scale factor is $4$ $4$ , meaning that the sides of triangle XYZ are $12$ $12$ , $16$ $16$ , and $20$ $20$ . The perimeter is $48$ $48$ .
Triangle UVW has an area of $6$ $6$ . Triangle XYZ has a perimeter of $96$ $96$ , which is $4^{2}$ $4^2$ .

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

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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

Explanation:

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