Question

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?

Answer 1

new perimeter will be equal = old perimeter*3=36*3=108

Answer 2

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

$S=\dfrac{P}{36}\\\\\Rightarrow 3=\dfrac{P}{36}\\\\\Rightarrow P=36\times3\\\\\Rightarrow P=108.$

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