Given:
Consider the below table attached with this question.
Every square meter of ceiling requires 10.75 tiles.
To find:
The missing values in the table.
Solution:
We have,
1 square meter of ceiling = 10.75 tiles. ...(i)
Therefore, the number of tiles corresponding to 1 square meter of ceiling is 10.75.
Multiply both sides by 10.
10×1 square meter of ceiling = 10×10.75 tiles.
10 square meter of ceiling = 107.5 tiles.
Therefore, the number of tiles corresponding to 10 square meter of ceiling is 107.5.
Divide both sides by 10.75 in (i).
[tex]\dfrac{1}{10.75}[/tex] square meter of ceiling = 1 tile.
Multiply both sides by 100.
[tex]\dfrac{100}{10.75}[/tex] square meter of ceiling = 100 tiles.
On approximating the value, we get
9.3 square meter of ceiling = 100 tiles.
Therefore, the square meters of ceiling corresponding to 100 tiles is about 9.3.
Multiply both sides by a in (i).
a×1 square meter of ceiling = a×10.75 tiles.
a square meter of ceiling = 10.75a tiles.
Therefore, the number of tiles corresponding to a square meter of ceiling is 10.75a.
The missing values in the table have been calculated and they are underlined below;
1) 1 m² = 10.75 tiles
2) 10 m² = 107.5 tiles
3) 9.3 m² of tiles = 100 tiles
4) a m² = 10.5a tiles
The table is missing and so i have attached it.
From the question, we are told that each square meter of ceiling requires 10.75 tiles. Thus on the first row;
1 m² = 10.75 tiles
The second row of the table shows 10 m² of tiles.
Thus, by proportion, 10 m² of tiles will require; 10 × 10.75 tiles = 107.5 tiles
The third row shows us 100 tiles required.
Since 10.75 tiles is for 1 m² , then by proportion, we can find the square meters of tiling of 100 tiles. Thus;
100 tiles will use; 100 × 1/10.75 = 9.3 m² of tiles
The fourth row shows us square meter of tiles to be a.
Thus by proportion, number of tiles required for this square meter of tile is;
a × 10.75/1 = 10.75a tiles
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