Answer: 44 units.
Step-by-step 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)
[tex]=2\times22=44\text{ units}[/tex]
Hence, the perimeter of the resulting image = 44 units.
