The length of the room is 9 meter, its floor is tiled by using 96 square tiles of 0.75m x0.75m each. What is breadth of the room?
To find the breadth of the room, we need to divide the total area of the floor by the length of the room.
Area of a single tile = length × width = 0.75m × 0.75m = 0.5625 square meters
Total area of all the tiles = number of tiles × area of a single tile = 96 × 0.5625 square meters
Given that the length of the room is 9 meters, we can now find the breadth of the room using the formula:
Area of the room = length × breadth
Cross-multiplying the formula gives us:
Area of the room = Total area of all the tiles
Therefore:
9 meters × breadth = 96 × 0.5625 square meters
To find the breadth, divide both sides of the equation by 9 meters:
breadth = (96 × 0.5625) square meters / 9 meters
Simplifying the expression:
breadth = 54 square meters / 9 meters
breadth = 6 meters
Therefore, the breadth of the room is 6 meters.
To find the breadth of the room, we need to consider the area covered by the square tiles and divide it by the length of the room.
1. Calculate the total area covered by the square tiles:
- Each tile measures 0.75m x 0.75m.
- To find the area of one tile, multiply the length by the width: 0.75m * 0.75m = 0.5625 square meters.
- Since 96 tiles were used, multiply the area of one tile by the number of tiles: 0.5625 square meters * 96 = 54 square meters.
2. Since the total area covered by the square tiles is equal to the length multiplied by the breadth, we can rearrange the formula to solve for the breadth:
- Total area = Length * Breadth
- Rearranging the formula: Breadth = Total area / Length
3. Substitute the known values into the formula:
- Total area = 54 square meters (calculated in step 1)
- Length = 9 meters (given in the question)
Breadth = 54 square meters / 9 meters = 6 meters
Therefore, the breadth of the room is 6 meters.
if "k" is the breadth, then
9*k=(96*(0.75*0.75))
=> k=6