A worker placed white tiles around black tiles in the pattern shown in the three figures bellow. Based on this pattern, how many tiles would be needed for 14 black tiles?

We can't see the figure.

To determine how many tiles would be needed for 14 black tiles, we need to understand the pattern and the relationship between the black and white tiles.

Let's analyze the first few figures:

Figure 1: 1 black tile (centered) and 4 white tiles surrounding it.
Figure 2: 4 black tiles in a square pattern (forming the corners), with 12 white tiles surrounding them.
Figure 3: 9 black tiles in a square pattern, with 20 white tiles surrounding them.

From this analysis, we can observe a pattern emerging:

- In Figure 1, we have 1 black tile and 4 white tiles.
- In Figure 2, we have 4 black tiles (which is 2^2) and 4 * 3 = 12 white tiles.
- In Figure 3, we have 9 black tiles (which is 3^2) and 4 * 5 = 20 white tiles.

We can see that the number of white tiles surrounding the black tiles increases by 8 with each increase in the number of black tiles.

Based on this pattern, we can find the number of white tiles by multiplying the number of black tiles by 8 and then subtracting 4.

So, for 14 black tiles, we can calculate the number of white tiles as follows:

Number of white tiles = (14 * 8) - 4
= 112 - 4
= 108

Therefore, if there are 14 black tiles, we would need 108 white tiles.