Question

Juan drew a rectangle with a perimeter of 22 units.he then performed a dilation with a scale factor of 2 on the rectangle.what is the perimeter of the resulting image?

Answer 1

Answer: 44 units.

Explanation:

A dilation is used to stretch or shrink a figure by using a scale factor k by multiplying it to the dimensions of the figure.

So that, the dimensions of the figure remains proportional to the original figure .

Given , Juan drew a rectangle with a perimeter of 22 units.

He then performed a dilation with a scale factor of 2 on the rectangle.

Then, the perimeter of the resulting image = (Scale factor) x (Perimeter of original rectangle)

`=2*22=44\text{ units}`

Hence, the perimeter of the resulting image = 44 units.