To calculate the perimeter of the shape, we need to sum the lengths of all its outer edges.

From the image, the dimensions are:

• Top horizontal line: 4 cm
• Right vertical line (top segment): 2 cm
• Middle horizontal line: 6 cm
• Right vertical line (bottom segment): 3 cm
• Bottom horizontal line: 4 cm
• Left vertical line: 8 cm

Since the figure is a composite shape, ensure no edges are missed. Starting at the top-left and moving clockwise around the shape:

Step-by-Step Calculation:

1. Top horizontal = 4 cm
2. Right vertical (top segment) = 2 cm
3. Middle horizontal = 6 cm
4. Right vertical (bottom segment) = 3 cm
5. Bottom horizontal = 4 cm
6. Left vertical = 8 cm

Finally, summing these values: $4 + 2 + 6 + 3 + 4 + 8 = 27 \, \text{cm}$

Final Answer:

The perimeter of the shape is 27 cm.

Would you like further clarifications or details?

5 Related Questions:

1. What is the formula for calculating the perimeter of composite shapes?
2. How do you calculate the area of this composite shape?
3. How do missing measurements affect perimeter calculations?
4. Can you derive a formula for other irregular T-shaped figures?
5. What are practical applications of calculating perimeters?

Tip:

When calculating the perimeter of composite shapes, always double-check that you haven’t counted any side twice or skipped any!