Final answer:
This question involves finding the perimeter of a solid pattern formed by nine square tiles laid out in a square configuration. You can calculate the perimeter by counting the number of tile sides that contribute to the outer edge and multiplying by the side length of an individual tile.
Step-by-step explanation:
The question is related to perimeter calculations of geometrical shapes, a common topic in Mathematics. When nine square tiles are laid out to make a solid pattern, each tile contributes to the total perimeter based on its position in the arrangement. If tiles are interior and not on the edge, they do not add to the overall perimeter. However, edge tiles do contribute to the perimeter with each exposed side. Computing this requires identifying the number of tiles along the border and the length of each tile's side.
For a square tile with side length 'a', the perimeter of one tile is 4a. In a solid pattern of 9 tiles, which would form a larger square, the perimeter would be the length of each side of this larger square multiplied by 4. Since there are 3 tiles along each edge, if each tile is 'a' units in length, then the perimeter P of the solid pattern would be P = 4(3a) = 12a. It's important to ensure units are consistent and that perimeter (linear dimension) and area (square dimension) are not confused.