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?
___ in.^2
___ in.^2
Answers
GPT-4o mini
To determine the maximum area that can be covered with the tiles, we first need to find the area of one tile.
Each tile is a square with a side length of 6 inches. The area \(A\) of a square is given by the formula:
\[
A = \text{side length}^2
\]
Substituting the side length of the tile:
\[
A = 6^2 = 36 \text{ square inches}
\]
Now, since Michael has 34 tiles, we can calculate the total area that can be covered by multiplying the area of one tile by the number of tiles:
\[
\text{Total area} = 34 \, \text{tiles} \times 36 \, \text{square inches/tile} = 1224 \, \text{square inches}
\]
Thus, the maximum number of square inches that Eric can cover with the tiles is:
\[
\boxed{1224} \, \text{in}^2
\]
Each tile is a square with a side length of 6 inches. The area \(A\) of a square is given by the formula:
\[
A = \text{side length}^2
\]
Substituting the side length of the tile:
\[
A = 6^2 = 36 \text{ square inches}
\]
Now, since Michael has 34 tiles, we can calculate the total area that can be covered by multiplying the area of one tile by the number of tiles:
\[
\text{Total area} = 34 \, \text{tiles} \times 36 \, \text{square inches/tile} = 1224 \, \text{square inches}
\]
Thus, the maximum number of square inches that Eric can cover with the tiles is:
\[
\boxed{1224} \, \text{in}^2
\]