Amman drew a rectangle with a perimeter of 36 units. he then preformed a dilation with a scale factor of 3. what is the perimeter in units of the resulting image?

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asked Aug 20, 2019 131k views

2 Answers

Arthur Lacoste · Answer 1 · 2019-08-24T14:07:37+0000

Answer: The required perimeter of the dilated rectangle is 108 units.

Step-by-step explanation: Given that Aman drew a rectangle with a perimeter of 36 units and then preformed a dilation with a scale factor of 3.

We are to find the perimeter in units of the resulting image.

Let P units denotes the perimeter of the dilated rectangle and S denote the scale factor of dilation.

That is, S = 3.

Then, according to the given information, we have

$S=(P)/(36)\\\\\Rightarrow 3=(P)/(36)\\\\\Rightarrow P=36*3\\\\\Rightarrow P=108.$

Thus, the required perimeter of the dilated rectangle is 108 units.