4. A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing values.

\begin{tabular}{|c|c|}
\hline
Square Meters of Ceiling & Number of Tiles \\
\hline
1 & \\
\hline
10 & 107.5 \\
\hline
[tex]$a$[/tex] & \\
\hline
& \\
\hline
\end{tabular}



Answer :

Certainly! Let's fill in the missing values for the table step-by-step. We'll use the information given and the known values to derive the results.

Given:
- Every square meter of ceiling requires 10.75 tiles.
- For 10 square meters, it is already known that 100 tiles are required.

Let's complete the table:

1. For 1 square meter:
- The number of tiles required for 1 square meter is 10.75.

2. For 10 square meters:
- This is already given as 100 tiles.

3. For \(a\) square meters:
- The number of tiles required is \(a \times 10.75\).

4. For an unspecified number of square meters:
- To find the number of tiles for any given number of square meters, let's consider \(n\) square meters:
- The number of tiles required for \(n\) square meters is \(n \times 10.75\).

Now, let's fill in the table with these values:

[tex]\[ \begin{array}{|c|c|} \hline \text{square meters of ceiling} & \text{number of tiles} \\ \hline 1 & 10.75 \\ \hline 10 & 100 \\ \hline a & a \times 10.75 \\ \hline n & n \times 10.75 \\ \hline \end{array} \][/tex]

We've now completed the table as requested, using the given information to determine the number of tiles required.