Question

The blue hexagon in the middle has 2 tile lengths on each side. Let's use a variable to represent that: (n=2). The number of green colored tiles in the border can be modeled as (6n+3), (n=2). So the number of green border tiles is (6 × (2)+3=15). If the blue hexagon in the middle had 4 tiles on a side ((n=4)), how many green colored tiles would there be in the border?

Answer 1

When the side of the blue hexagon is 4 tiles long, there would be 27 green border tiles surrounding it, calculated using the formula 6n + 3.

Step-by-step explanation:

The question asks about the border of a hexagonal pattern where each side of the blue central hexagon is 4 tiles in length. To find the number of green border tiles for a blue hexagon with 4 tiles on each side, we use the given formula: 6n + 3, where n represents the number of tiles on each side. Replacing n with 4, we calculate the number of green tiles as 6(4) + 3, which equals 24 + 3 = 27. Therefore, if the blue hexagon has 4 tiles on each side, there would be 27 green border tiles.