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?(1 point)
in.2
Remaining Attempts : 3
in.2
Remaining Attempts : 3
Answers
GPT-4o mini
To find out the maximum area that Michael can cover with the 34 square tiles, we first need to calculate the area of a single tile.
The area \( A \) of a square tile can be calculated using the formula:
\[
A = \text{side length} \times \text{side length}
\]
In this case, the side length of each tile is 6 inches.
\[
A = 6 \, \text{inches} \times 6 \, \text{inches} = 36 \, \text{square inches}
\]
Now, we can find the total area that can be covered by 34 tiles:
\[
\text{Total Area} = \text{Number of tiles} \times \text{Area of a single tile}
\]
\[
\text{Total Area} = 34 \times 36 \, \text{square inches}
\]
Now performing the multiplication:
\[
34 \times 36 = 1224 \, \text{square inches}
\]
Therefore, the maximum number of square inches that Eric can cover with the 34 tiles is \( \boxed{1224} \).
The area \( A \) of a square tile can be calculated using the formula:
\[
A = \text{side length} \times \text{side length}
\]
In this case, the side length of each tile is 6 inches.
\[
A = 6 \, \text{inches} \times 6 \, \text{inches} = 36 \, \text{square inches}
\]
Now, we can find the total area that can be covered by 34 tiles:
\[
\text{Total Area} = \text{Number of tiles} \times \text{Area of a single tile}
\]
\[
\text{Total Area} = 34 \times 36 \, \text{square inches}
\]
Now performing the multiplication:
\[
34 \times 36 = 1224 \, \text{square inches}
\]
Therefore, the maximum number of square inches that Eric can cover with the 34 tiles is \( \boxed{1224} \).