Math, asked by shwetal71, 2 months ago

the area of a floor of a square shaped hole is 2.56 m square it is covered with a square shaped tile having style of tile 16cm then the number of tile required
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Answered by TheBrainliestUser
44

Answer:

  • 100 tiles is required.

Step-by-step explanation:

Given that:

  • The area of a floor of a square shaped hole is 2.56 m square.
  • It is covered with a square shaped tile having side 16 cm.

To Find:

  • The number of tiles required.

Formula used:

  • Number of tile = (Area of floor)/(Area of each tile)

Converting the area of floor into cm²:

  • [1 m = 100 cm]

= 2.56 m²

= 2.56 × 1 m × 1 m

= 2.56 × 100 cm × 100 cm

= 25600 cm²

∴ Area of floor = 25600 cm²

Finding the area of each tile:

We know that,

  • Area of square = side × side

⟿ Area = 16 × 16

⟿ Area = 256

∴ Area of each tile = 256 cm²

Finding the number of tiles required:

⟿ Number of tiles = 25600/256

⟿ Number of tiles = 100

∴ Number of tiles required = 100

Answered by BrainlyFlash156
118

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Given data:-

  • The area of a floor of a square shaped hole is 2.56 m square. It is covered with a square shaped tile having side 16 cm.

To find:-

  • The number of tiles required.

Solution:-

First we have to Convert the area of floor into cm²:

[1 m = 100 cm]

  • ➠2.56 m²
  • ➠2.56 × 1 m × 1 m
  • ➠2.56 × 100 cm × 100 cm
  • ➠25600 cm²

So the Area of floor = 25600 cm²

Now we have to find the area of each tiles,So by using area formula,

Area of square = side × side

  • ➠Area = 16 × 16
  • ➠Area = 256cm²

So the Area of each tile = 256 cm²

Now we can Find the number of tiles required:

  • ➠Number of tiles = Area of floor/Area of each tiles
  • ➠Number of tiles = 25600/256
  • ➠Number of tiles = 100

So Number of required tiles are 100.

________________________

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