Question

Michael has 34 square tiles left over from a previous project. Each tile has a side length of 6 inches. If Eric wants to tile his bathroom floor, what is the maximum number of square inches that he can cover with the amount of tile he has?

Answer 1

To determine the maximum area Eric can cover with the tiles, we first need to calculate the area of one tile.

Each tile has a side length of 6 inches. The area \( A \) of a square tile is given by the formula:

\[
A = \text{side} \times \text{side}
\]

Substituting the side length:

\[
A = 6 \, \text{in} \times 6 \, \text{in} = 36 \, \text{square inches}
\]

Next, since Michael has 34 tiles, we can calculate the total area covered by all these tiles by multiplying the area of one tile by the number of tiles:

\[
\text{Total Area} = \text{Area of one tile} \times \text{Number of tiles}
\]

Substituting in the values we have:

\[
\text{Total Area} = 36 \, \text{square inches/tile} \times 34 \, \text{tiles} = 1224 \, \text{square inches}
\]

Thus, the maximum number of square inches that Eric can cover with the tiles Michael has is

\[
\boxed{1224}
\]