Question

Jatin wents to cover the floor of a room 3m wide and 4m long by square tiles. If each square is side 0.5m then find the number of tiles required to cover the floor​

Answer 1

Given:-

• Length of the Floor = 3 m

• Breadth of the Floor = 4 m

• Side of square tiles = 0.5 m

To Find:-

• Number of tiles required to cover the floor.

Formula Used:-

• ${\boxed{\bf{Area\:of\: Rectangle= Length \times Breadth}}}$

• ${\boxed{\bf{Area\:of\: Square= Side^2}}}$

Solution:-

Firstly Using Formula,

$\sf :\implies\:Area\:of\: Rectangle= Length \times Breadth$

Putting values,

$\sf :\implies\:Area\:of\: Floor= 3 \times 4$

$\sf :\implies\:Area\:of\: Rectangle= 12\:m^2$

Now Using Formula,

$\sf :\implies\:Area\:of\: Square= Side^2$

Putting values,

$\sf :\implies\:Area\:of\:one\:tile = 0.5^2$

$\sf :\implies\:Area\:of\: one\:tile= 0.25m^2$

Now,

Number of tiles required to cover the floor :-

$\sf = \dfrac{Area\:of\: Floor}{Area\:of\:one\:tile}$

$\sf =\dfrac{12}{0.25}$

$\sf =\dfrac{1200}{25}$

$\sf = 48$

Hence, 48 tiles are required to cover the floor.

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Answer 2

$\underline{\underline{\sf{\maltese\:Given\::-}}}$

• Length of the Floor = 3 m

• Breadth of the Floor = 4 m

• Side of square tiles = 0.5 m

$\underline{\underline{\sf{\maltese\:To\:find\::-}}}$

• Number of tiles required to cover the floor.

$\concept$$\underline{\underline{\sf{\maltese\:Concept\::-}}}$

$\odot$ Here we have Length of the Floor = 3 m, Breadth of the Floor = 4 m and Side of square tiles = 0.5 m. As we known that to find the number of tiles required to cover the floor, we need area of the floor so firstly we will find out the area of the floor.

$\odot$ After finding the area of the floor we will find out the area of the one tile by using the formula.

$\odot$ After finding the area of the one side we will find out the Number of tiles required to cover the floor.

$\underline{\underline{\sf{\maltese\:Full\:Solution\::-}}}$

$\bigstar$ Let us find out the area of the floor by substituting the given values in the formula ( Length × Breadth ).

$\qquad\sf{:\implies\:Area\:of\:the\:floor\:=\:Length\:\times\:Breadth}$

$\qquad\sf{:\implies\:Area\:of\:the\:floor\:=\:3\:\times\:4}$

$\qquad\sf{:\implies\:Area\:of\:the\:floor\:=\:12\:m^{2}}$

• Hence the area of the floor is 12m².

$\bigstar$ Let us find out the area of the on tile by substituting the values in the formula ( Area of square = side × side )

$\qquad\sf{:\implies\:Area\:of\:the\:one\:tile\:=\:Side\:\times\:Side}$

$\qquad\sf{:\implies\:Area\:of\:the\:one\:tile\:=\:0.5\:\times\:0.5}$

$\qquad\sf{:\implies\:Area\:of\:the\:one\:tile\:=\:0.25m^{2}}$

• Hence the area of the one tile is 0.25m²

$\bigstar$ Let us find out the number of tiles required to cover the floor by dividing the area of floor and area of the one tile.

$\qquad\sf{:\implies\:Number \:of\: tiles \:required\: to\: cover\: the \:floor\:=\:\dfrac{Area\:of\:Floor}{Area\:of\:one\:tile}}$

$\qquad\sf{:\implies\:Number \:of\: tiles \:required\: to\: cover\: the \:floor\:=\:\dfrac{12}{0.25}}$

$\qquad\sf{:\implies\:Number \:of\: tiles \:required\: to\: cover\: the \:floor\:=\:\dfrac{1200}{25}}$

$\qquad\sf{:\implies\:Number \:of\: tiles \:required\: to\: cover\: the \:floor\:=\:48}$

• Hence the number of tiles to cover the floor is 48.