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A regular pentagon is dilated by a scale factor of 4/3 to create a new pentagon. How does the perimeter of the new pentagon compare with the original perimeter?


A.

The perimeter of the new pentagon is 16/9 the perimeter of the original pentagon.


B.

The perimeter of the new pentagon is 16/3 the perimeter of the original pentagon.


C.

The perimeter of the new pentagon is 20/3 the perimeter of the original pentagon.


D.

The perimeter of the new pentagon is 4/3 the perimeter of the original pentagon.



Answer :

sqdancefan

Answer:

  D.  The perimeter of the new pentagon is 4/3 the perimeter of the original pentagon.

Step-by-step explanation:

When a geometric figure is dilated by some scale factor, all of the linear dimensions are multiplied by that scale factor. The area is multiplied by the square of the scale factor, and the volume is multiplied by the cube of the scale factor.

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perimeter

Perimeter is a linear measure of the figure, so it is multiplied by the scale factor.

The perimeter of the new pentagon is 4/3 times the original perimeter.

Answer:

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Step-by-step explanation:

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