To find the perimeter of the irregular shape in your image, we need to add up the lengths of all the outer edges. Let's break it down step by step using the provided measurements:

Given Dimensions:

• Top horizontal edge: 10 cm
• Bottom horizontal edge: 10 cm
• Left vertical edge: 10 cm
• Inner vertical edge: 4 cm
• Inner horizontal edge: 4 cm

Step-by-Step Perimeter Calculation:

1. Top horizontal edge = 10 cm
2. Right vertical edge (total) = 10 cm
3. Inner bottom horizontal edge = 4 cm
4. Right inner vertical edge = 4 cm
5. Inner horizontal edge (to the left) = 4 cm
6. Left vertical edge (total) = 10 cm

However, we need to subtract overlapping segments to get the actual perimeter. In this case, the 4 cm segment is already part of the 10 cm side, so we must adjust accordingly.

Thus, the total perimeter is calculated by adding up the non-overlapping edges: $10 + 10 + 4 + 6 + 10 = 40 \text{ cm}$

The perimeter is 40 cm.

Would you like more details or have any questions?

Here are 5 related questions for practice:

1. How would the perimeter change if one of the sides increased by 2 cm?
2. What is the difference between the area and perimeter of a shape?
3. How can we find the area of this irregular shape?
4. How do we calculate the perimeter of a circle compared to this shape?
5. What happens to the perimeter if the shape is scaled by a factor of 2?

Tip: Always ensure you account for overlapping or shared edges when calculating the perimeter of irregular shapes!