Math, asked by MATHLIFE, 1 month ago

A tile measures 10 x 10 cm. How many such tiles are required to cover a wall4 m X 2.5 m.

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Answers

Answered by king453630
1

Answer:

total area = 400cm into 250cm =100000 sq cm

tile area = 10 into 10 sq cm = 100sq cm

number of tiles = 100000 ➗ 100 sq cm = 1000 tiles

Answered by SuitableBoy
81

{\large{\underline{\underline{\bf{Question:-}}}}}

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Q) A tile measures 10cm × 10cm . How many such tiles are required to cover a wall of dimensions 4m × 2.5m ?

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{\large{\underline{\underline{\bf{Required\:Solution:}}}}}

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Here, we would find the area of the wall, then we would divide it by the area of a single tile so as to get the number of tiles.

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Since the wall is rectangular in shape so,

  • Area of rectangle = Length×Breadth .

 \mapsto \sf \: area _{wall} = 4m \times 2.5m \\  \\  \mapsto \sf \: area _{wall} = 4 \times 100cm \times 2.5 \times 100cm \\  \\   \mapsto \sf   {\boxed{ \pink{\tt \: area _{wall} = 100000 \:  {cm}^{2} }}}

And,

The tile is in the shape of a square so,

  • Area of square = side × side.

 \mapsto \sf \: area _{tile} = 10cm \times 10cm \\  \\ \mapsto \boxed{ \tt \pink{area _{tile} = 100 \:  {cm}^{2} }}

Now,

 \colon \rightarrow \sf \: no. \: of \: tiles =  \frac{area \: of \: wall}{area \: of \: a \: tile}  \\  \\  \colon \rightarrow \sf \: no. \: of \: tiles =  \frac{1000 \cancel{00} \:  \cancel {cm}^{2} }{ \cancel{100} \:  \cancel {cm}^{2} }  \\  \\  \colon \rightarrow \underline{ \boxed{ \purple{ \tt{no. \: of \: tiles =  \green{ \bf{1000}}}}}}

So,

1000 such tiles would be required to cover the wall.

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Note : As, we are supposed to find the number of tiles so, it would not have any unit.

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