The length of a room is 9 metres.It's floor is tiled by using 96 square tiles of 0.75 X0.75 m each. What is the breath of the room?
To find the width or breadth of the room, we need to consider the area of the room and the dimensions of the square tiles.
First, let's calculate the area of the room. We are given the length of the room, which is 9 meters. To find the area of a rectangle, we multiply the length by the width. So, let's assume the width of the room is 'w' meters. Therefore, the area of the room is 9 meters (length) multiplied by 'w' meters (width).
Area of the room = Length × Width
Area of the room = 9 meters × w meters
Area of the room = 9w square meters
Now, we know that the floor is tiled using 96 square tiles. Each tile has dimensions of 0.75 meters by 0.75 meters.
To find the area covered by one tile, we multiply the length of the tile by the width of the tile.
Area of one tile = Length × Width
Area of one tile = 0.75 meters × 0.75 meters
Area of one tile = 0.5625 square meters
Since we have 96 tiles, the total area covered by the tiles can be calculated by multiplying the area of one tile by the number of tiles.
Total area covered by tiles = Area of one tile × Number of tiles
Total area covered by tiles = 0.5625 square meters × 96
Total area covered by tiles = 54 square meters
Now, we can set up an equation to find the breadth of the room:
Area of the room = Total area covered by tiles
9w square meters = 54 square meters
To solve for 'w', divide both sides of the equation by 9:
w = 54 square meters / 9 meters
w = 6 meters
Therefore, the breadth or width of the room is 6 meters.
area of tiled floor = (3/4)(3/4)(96) = .... m^2
area of floor = lw = 9w
so .....