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

\[ \boxed{1224} \]