Question

jatin wants to cover the floor of a room 3m wide and 4m long by squared tiles. if each square tile is of side 0.5m, then find the number of tiles required to cover the floor of the room ​

Answer 1

Answer:

48 tiles are required

I hope it will help you

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.

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

$\odot$ 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.