Answer
Ratio of perimeters is $k$; ratio of areas is $k^2$.
Explanation
If triangle B has sides 3 times as long as triangle A ($k=3$), its perimeter is 3 times as large and its area is $3^2 = 9$ times as large.
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Ratio of perimeters is $k$; ratio of areas is $k^2$.
If triangle B has sides 3 times as long as triangle A ($k=3$), its perimeter is 3 times as large and its area is $3^2 = 9$ times as large.