Answer: See diagram below
Scale factor = 3
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Step-by-step explanation:
The given L shape has a perimeter of 3+1+2+1+1+2 = 10 units. I added up the exterior sides of this shape.
We want the perimeter to be 30 units, so we scale it by a factor of 3. Since 30/10 = 3.
This means we'll triple each side
The vertical side on the left originally 3 units long is now 3*3 = 9 units. The bottom side that is 2 units long is now 2*3 = 6 units. And so on.
See the diagram below.
Notice in the red figure the sides add to 9+3+6+3+3+6 = 30 to help confirm our answer.