Weet is the least common multiple of the two denominators?
4
832
12
32
8

D)not necessarily; The sides of the neighbor's triangles could have different side lengths such as 3, 4, and 5.  

Step-by-step explanation:

The perimeter of a triangle is the distance around the figure.

The original triangle has sides that are 4, 4 and 4; the perimeter is 12.

However, just because the neighbor has a triangle with a perimeter of 12 does not mean the sides are the same length.  There is a number of combinations of sides that will give us a sum of 12 and not be 4, 4 and 4.