Respuesta :

The perimeter of this shape is equal to 42 units, or B.

To find the perimeter of the shape, the first step is that we first need to find the lengths of the sides that are not given to us. The sides that are not given to us are the bottom side, the side right next to the side with a length of two, and the side right next to the side with the length of 4.

The side next to two is equal to 3, because it is the same length as the side on the other side (if that makes sense). 

The side next to the side with the length of 4 is also 4 because it is equal to the side across from it. 

Now the bottom. The bottom is equal to (2 + 12 - 4) units, because those are the segments that will make it up (so, by the Part - Whole Postulate, it is equal to that). That means the bottom is equal to 10. 

Now we need to add all the measurements up. Doing this, we get that the perimeter is equal to 42 units, or B.