The problem in the image states:

• The perimeter of a regular hexagon is $6s$, where $s$ is the length of each side.
• A gardener creates a garden bed shaped like a regular hexagon, and each side of the bed is 8 meters long.
• The task is to find the perimeter of the garden.

Solution:

Since the perimeter of a regular hexagon is $6s$, where $s$ is the length of each side, and we are given that $s = 8$ meters, the perimeter $P$ can be calculated as:

$P = 6 \times 8 = 48 \text{ meters}$

Therefore, the perimeter of the garden is 48 meters.

Would you like a further breakdown or additional explanation?

Related Questions:

1. How would the perimeter change if each side were doubled in length?
2. Can you calculate the area of the hexagon if each side is 8 meters?
3. What if the hexagon were a different polygon, like a square or pentagon? How would the perimeter formula change?
4. How would the formula for perimeter change if the shape were irregular?
5. If the perimeter was given and you had to find the side length, how would you do that?

Tip:

Always remember that for regular polygons, the perimeter is simply the number of sides multiplied by the length of one side.