6. Kerstin has a square tile. The perimeter of the tile is 32 inches. What is the length of each side of the tile?

To find the length of each side of the tile, you can use the formula for the perimeter of a square, which is \( P = 4 \times s \), where \( s \) is the length of one side. In this case, the perimeter is 32 inches, so you can set the equation as \( 32 = 4 \times s \). Dividing both sides by 4 gives you \( s = 8 \). Therefore, each side of the square tile is 8 inches long. Now, here's the fun part: if Kerstin has a crazy pattern of tiles in mind, imagine how many 8-inch tiles she would need to create a grand mosaic! The possibilities are endless. Each design could be a burst of color, geometry, or even a mind-boggling optical illusion! Get those creative juices flowing, Kerstin!