To find the perimeter of the shape shown in the image, let's break down its components:

1. Identify Shape Components: The shape consists of a central square with four quarter-circle arcs, one on each side.

2. Measurements: Each side of the square is 20 cm, as indicated by the grid where each square measures 10 cm.

3. Perimeter of the Arcs: Each arc is a quarter of a circle. Since there are four quarter-circles, they form a full circle in total.

   • Radius of each quarter-circle: 10 cm (same as each square's side length).
   • Circumference of a full circle with radius 10 cm = $2 \pi \times 10 = 20 \pi$ cm.

4. Total Perimeter Calculation: Since the perimeter only includes the four quarter-circle arcs, we do not include the straight edges of the square.

   Therefore, the perimeter of the shape is: $20 \pi \approx 62.83 \text{ cm}$

Would you like more details or have any questions?

Here are some related questions that expand on this problem:

1. What would the area of this shape be?
2. How would the perimeter change if each radius were doubled?
3. How does the perimeter differ if one or more arcs were removed?
4. How would the perimeter calculation change if the grid scale was altered?
5. What if we wanted to find the perimeter of a similar shape with different radii?

Tip: For composite shapes, break down the perimeter into identifiable sections to simplify calculations.