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The blue hexagon in the middle has 2 tile lengths on each side, representing that: n = 2. The number of green-colored tiles in the border can be modeled as 6n + 3, where n= 2 How many green-colored tiles would there be in the border if the blue hexagon in the middle had 4 tiles on each side (n = 4)?

A. 21
B. 27
C. 30
D. 33

1 Answer

4 votes

Final answer:

When the side length of the hexagon is 4 tiles (n = 4), the number of green-colored tiles in the border, using the formula 6n + 3, would be b)27.

Step-by-step explanation:

The question involves calculating the number of green-colored tiles that would form the border of a hexagon when each side of the hexagon is 4 tiles long. The formula given for the border is 6n + 3, where n represents the number of tiles on each side of the hexagon.

When n = 4, we plug the value of 4 into the formula:

6n + 3 = 6(4) + 3 = 24 + 3 = 27.

Therefore, with n = 4, there would be option b:27 green-colored tiles in the border of the hexagon.

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