So... I believe the tile perimeter is 10 inches.
Your description of the tile is vague, but I think what you are meaning is 4 inches tall and 1 inch wide? If so, your perimeter is 10 inches.
Here's how we know that:
To find the perimeter of a shape we take the length and and height of every side and add them together. I am also assuming here that your shape is a square/rectangle.
So we take the length of each side which would be:
4, 4, 1, and 1.
Next, add those all together to find the perimeter:
4 + 4 + 1 + 1 = 10
Hope this helps!! Good luck! :)