A regular pentagon with a perimeter of 10 cm is dilated by a scale factor of 3/2 to create a new pentagon. What is the the perimeter of the new pentagon?

Answers

Answer 1

Given:

Perimeter of a regular pentagon = 10 cm

The pentagon is dilated by a scale factor = [tex]\dfrac{3}{2}[/tex].

To find:

The perimeter of the new pentagon.

Solution:

If a figure is dilated by a scale factor k, then

Perimeter of new figure = k × perimeter of original figure

The scale factor is [tex]\dfrac{3}{2}[/tex] and the perimeter of a regular pentagon is 10 cm. So, the perimeter of a new pentagon is:

[tex]\text{Perimeter of new pentagon}=\dfrac{3}{2}\times 10[/tex]

[tex]\text{Perimeter of new pentagon}=3\times 5[/tex]

[tex]\text{Perimeter of new pentagon}=15[/tex]

Therefore, the perimeter of the new pentagon is 15 cm.


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Answers

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[tex]\fbox{\textsf{Option B is \underline{correct}.}}[/tex]

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Answers

Answer:

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Answer:

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Answers

Answer:

3 hours

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