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A regular pentagon is dilated by a scale factor of 73 7 3 to create a new pentagon. How does the perimeter of the new pentagon compare with the original perimeter?

Respuesta :

calculista

Answer:

The perimeter of the new pentagon is equal to  [tex]\frac{7}{3}[/tex]  times the perimeter of the original pentagon

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-------> the scale factor

x------> the perimeter of the new pentagon

y-----> the perimeter of the original pentagon

so

[tex]z=\frac{x}{y}[/tex]

In this problem we have

[tex]z=\frac{7}{3}[/tex]

substitute

[tex]\frac{x}{y}=\frac{7}{3}[/tex]

[tex]x=\frac{7}{3}y[/tex]

therefore

The perimeter of the new pentagon is equal to  [tex]\frac{7}{3}[/tex]  times the perimeter of the original pentagon

Answer:

The perimeter of the new pentagon is 7/3 the perimeter of the original pentagon.

Step-by-step explanation:

The answer and explanation is also in the picture below :)

Ver imagen Аноним

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