To calculate the perimeter and area of the given shape, we first need to determine the lengths of all sides.

To calculate the perimeter and area of the given shape, we first need to determine the lengths of all sides.

The shape is a composite figure. Let's identify the known and unknown side lengths.
Known lengths:

• Top-left horizontal segment: $2 \text{ cm}$
• Top-left inner vertical segment: $2 \text{ cm}$
• Top-right horizontal segment: $3 \text{ cm}$
• Left outer vertical segment: $3 \text{ cm}$
• Bottom-right inner vertical segment: $1 \text{ cm}$
• Bottom-right inner horizontal segment: $1 \text{ cm}$

We need to find the lengths of the full right vertical side and the full bottom horizontal side.
The total width of