A-sse kitchen floor tiles

Question

fred has some colored kitchen floor tiles and wants to choose a pattern using them to make a border around white tiles.he generates patterns by starting with a row of four whites tiles,he surrounds these four tiles with a border of colored tiles (border 1).

fred writes the expression 4(b-1) for the number of tiles with a border,where b is the border, where b is the border number,b_>1

Answer 1

To calculate the number of tiles with a border, Fred writes the expression 4(b - 1), where b is the border number, and b is greater than or equal to 1.

Explanation:

- Each border consists of a row of white tiles surrounded by a border of colored tiles.

- Since there are 4 white tiles in the row, and each border consists of one layer of colored tiles around the white tiles, the number of tiles in each border is 4 + the number of colored tiles used for the border.

- If we let b represent the number of colored tiles in the border, then the expression 4(b - 1) represents the total number of tiles in the border, where we subtract 1 from b because the initial 4 white tiles are not part of the border.