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Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. The smallest number of tiles needed is
  • a)
    250
  • b)
    324
  • c)
    400
  • d)
    520
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Floor of a square room of side 10 m is to be completely covered with s...
Calculation:
Area of square room
= (10)2 = 100 sq m = 100 × (100)2 sq cm
= 100 × 100 × 100 sq cm
Now, area of tile
= (50)2 = 50 × 50 sq cm
∴ Number of tiles needed
= Area of square room/Area of tile
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Community Answer
Floor of a square room of side 10 m is to be completely covered with s...
Calculating the Number of Tiles
To cover the floor of a square room with side length of 10m, we need to calculate the number of square tiles required.

Calculating the area of the room
The area of the square room can be calculated using the formula:
Area = side length x side length
Area = 10m x 10m
Area = 100 square meters

Calculating the area of each tile
Each tile has a side length of 50 cm, which is equal to 0.5 meters.
The area of each tile can be calculated using the formula:
Area = side length x side length
Area = 0.5m x 0.5m
Area = 0.25 square meters

Calculating the number of tiles required
To find the number of tiles needed to cover the floor, we divide the total area of the room by the area of each tile:
Number of tiles = Total area / Area of each tile
Number of tiles = 100 square meters / 0.25 square meters
Number of tiles = 400
Therefore, the smallest number of tiles needed to completely cover the floor of the square room is 400. Hence, the correct answer is option 'C'.
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Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. The smallest number of tiles needed isa)250b)324c)400d)520Correct answer is option 'C'. Can you explain this answer?
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