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?(1 point)

Question

in.2

Answer 1

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

Each tile has a side length of 6 inches, so the area \( A \) of one tile can be calculated using the formula for the area of a square:

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

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

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

Therefore, the maximum number of square inches that Eric can cover with the tiles is \( \boxed{1224} \).