
Стена в кухне обложена кафельными плитками так,что ширина швов между соседними плитками состовляет
1% соответствующей ширины плитки.По длине стены уложено 15 плиток,по её высоте -10.Какой процент площади стены занимают швы?

Ответы на вопрос




Calculation of the Percentage of Wall Area Occupied by Grout
To calculate the percentage of wall area occupied by grout, we need to determine the dimensions of the tiles and the width of the grout lines.
Given: - The width of the grout lines is 1% of the corresponding tile width. - The wall is covered with 15 tiles in length. - The wall height is 10 tiles.
Let's calculate the percentage of wall area occupied by grout step by step:
1. Determine the width of the grout lines: - The width of the grout lines is 1% of the corresponding tile width. - Since the width of the grout lines is given as a percentage, we need to convert it to a decimal. - Let's assume the width of each tile is x units. - The width of the grout lines will be 0.01x units.
2. Calculate the total width of the tiles: - The wall is covered with 15 tiles in length. - Therefore, the total width of the tiles will be 15x units.
3. Calculate the total width of the grout lines: - Since there are 15 tiles, there will be 14 grout lines between them. - The total width of the grout lines will be 14 * 0.01x = 0.14x units.
4. Calculate the total area of the grout lines: - The height of the wall is 10 tiles. - Therefore, the total area of the grout lines will be 0.14x * 10x = 1.4x^2 square units.
5. Calculate the total area of the wall: - The width of the wall is 15 tiles, and the height is 10 tiles. - Therefore, the total area of the wall will be 15x * 10x = 150x^2 square units.
6. Calculate the percentage of wall area occupied by grout: - Divide the total area of the grout lines by the total area of the wall and multiply by 100 to get the percentage. - The percentage of wall area occupied by grout will be (1.4x^2 / 150x^2) * 100 = 0.93%.
Therefore, approximately 0.93% of the wall area is occupied by grout.
Please note that the calculations above are based on the assumption that the width of each tile is x units. The actual dimensions of the tiles may vary, so the percentage may differ accordingly.


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