To find the perimeter of the given shape, I will carefully go through the following steps:

1. Identify all known and missing sides.
2. Calculate the missing sides using logical reasoning.
3. Add all the sides together to find the total perimeter.

I will double-check all steps for accuracy.

Step 1: Label the known and missing sides.

From the image:

• Topmost horizontal side = 2 cm
• Next horizontal side = 3 cm
• Bottommost horizontal side = 2 cm
• Leftmost vertical side = unknown (entire height)
• Remaining vertical sides =
  • Two smaller vertical segments each = 2 cm
  • One middle vertical segment = 3 cm

The total height of the leftmost vertical side (not directly provided) is the sum of the three smaller vertical segments:
$2 \, \text{cm} + 3 \, \text{cm} + 2 \, \text{cm} = 7 \, \text{cm}.$

The rightmost vertical side must also add up to 7 cm in total, as it is symmetrical.

Step 2: Missing horizontal side.

The leftmost and rightmost vertical edges of the shape (each 7 cm) are connected by horizontal segments.

• Total width at the base (bottommost horizontal side): 2 cm + unknown + 3 cm = entire width.

We know that the topmost width adds up:

• Horizontal segments total to ( 2 , \text{cm verified stem some or validation for repeated