A regular pentagon with a perimeter of 21 inches is dilated by a scale factor of 5/3 to create a new pentagon. What is the perimeter of the new pentagon?

1 Answer
Solace M.
Sep 20, 2017

35 inches

Explanation:

This assumes the dilation happens in the centre of the pentagon. A regular pentagon with a perimeter of 21 inches has side lengths equal to 21/5=4.2 inches. The dilation factor is 5/3, therefore
4.2*5/3=7 inches being the new side length. Since this is a regular pentagon, we multiply the side length by 5 to get
7*5=35 inches is the new perimeter.

Alternatively, you could just multiply the perimeter by the dilation, so
21*5/3
=105/3
=35 inches as the new perimeter.

I hope I helped!

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