The students in the Art Club are tiling a wall at the entrance to room 111 that is 8 ft by 16 ft. They are using tiles that are 6 in. by 6 in. to create a multi-colored design. How many tiles do the students need?

512

The students in the Art Club are tiling a wall at the entrance to room 111 that is 8 ft by 16 ft. They are using tiles that are 6 in. by 6 in. to create a multi-colored design. How many tiles do the students need?

To determine the number of tiles needed, we first need to calculate the area of the wall to be tiled. The wall's dimensions are 8 ft by 16 ft, so the total area is given by multiplying the length and width:

Area of the wall = 8 ft * 16 ft.

Next, convert the dimensions of the tiles from inches to feet. Since 1 ft = 12 in, each tile has an area of (6 in / 12 in/ft) * (6 in / 12 in/ft) = 0.25 ft * 0.25 ft.

Now, divide the total wall area by the area of each tile to find the number of tiles needed:

Number of tiles = Area of the wall / Area of each tile.

Let's calculate the result: