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Q.

The floor of a room is to be decorated with square tiles of length 6m. How many tiles are required if the floor of the room has dimensions Question Image?


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a

90

b

24

c

57

d

11 

answer is B.

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Detailed Solution

Concept- - The room in this issue has measurements that match its length and width, which are 36 metres and 24 metres, respectively. As a result, the length-by-breadth portion of the room will be the portion that just has to be tiled. Now that the tile is square, one of its sides is known, allowing the area of the square to be determined. Now, the number of titles needed to completely cover the room's floor will be determined by the ratio of the tile's area to that of the room.
Square tiles with a length of Question Image  are to be used to beautify the floor of the room.
The area of the tiles is the square of the side length since the titles are square in design.
The square titles' area is therefore Question Image.
Now, the size of the floor where the tiles are placed is Question Image.
Now let's reduce this dimension value: Question ImageNow, the ratio of the size of the room in which tiles are planted to the area of a single tile determines how many titles are needed to completely fill the floor of the room.
The number of titles needed to completely cover the room's floor is therefore equal to (room size/tiling area).
Substitute the numbers we already know to get: Question Image, which is the number of titles needed to fill the room's floor entirely.
Therefore, 24 tiles are needed to completely cover the floor.
Hence, the correct option is 2) 24.
 
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