Answer:
The perimeter is 22cm
Explanation:
So first we know that the top is 5cm, the two bottom parts are each 1cm, one of the insides is 2cm, and the right side is 4cm. So far that gives us a perimeter of 13cm. Now we need to find the unlabeled sides, so first (and it doesn't matter what side you start with) let's find the left side. Because the shape is symmetrical we can look across at the right side's measurement, and it will be the same measurement for the left side, 4cm. Next the right inside. Again, we can look to the left and we see that the left inside has a measurement of 2 cm, so the right inside will be the same, 2cm. Now for the bottom. We see that the top is 5cm, and if we were to fill in that empty space at the bottom, it would also be 5cm. We know that the two bottom pegs are each 1cm, so they're 2cm combined. If we were to fill in the rectangle, the bottom would equal 5cm. So 5-2 (for the 2cm of the bottom pegs), we get 3cm for that bottom unlabeled part. So if we add 13 to our new numbers 4, 3, and 2, we get a perimeter of 22cm.