Question

Aadit wants to cover the floor of his room whose length is 4 m and breadth is

3 m, using square tiles. If each square tile is of side 20 cm, then find the

number of tiles required to cover the floor of his room.​

Answer 1

Answer:

Aadit will require 300 square tiles for this room

Answer 2

A n s w e r

⠀

G i v e n

⠀

• Length of the room is 4 m

• Breadth of the room is 3 m

• Side of square tile is 20 cm

F i n d

⠀

• The number of square tiles required to cover the floor of the room

S o l u t i o n

⠀

As the area of floor need to be tiled hence we will be firstly calculating the area of floor

Thus,

Area of Floor

⠀

➠ A = L x B

Where ,

• A = Area of Floor

• L = Length of floor

• B = Breadth of floor

Given in the question ,

⠀

• Length = 4 m

• Breadth = 3 m

⟮ Putting the values ⟯

: ➜ A = 4 x 3

: ➜ A = 12 sq. m -----------(1)

• Hence the area of the floor of the room is 12 sq. m

⠀

Also given that the side of square tile is 20 cm

$\sf \boxed { 1 \: cm = \dfrac {1 }{100 } \: m }$

➠ $\sf 20 \: cm = \dfrac {20 }{100 } \: m$

• 20 cm = 0.20 m

Area of square tile

⠀

: ➜ $\sf A' = S^2$

Where ,

• A' = Area of square tile

• S = Side of square tile

Given in the question ,

• Side = 20 cm = 0.20 m

⟮ Putting the values ⟯

: ➜ $\sf A' = (0.20)^2$

: ➜ $\sf A' = (0.04)$

: ➜ A' = 0.04 sq m --------(2)⠀

• Hence the area of the square tile is 0.04 sq m

⠀

Number of tiles required

Now to find the number of tiles required we will divide the area of floor by the area of 1 square tile

Thus ,

From (1) & (2)

: ➜ Number of tiles = $\dfrac {12 } {0.04 }$

: : ➨ Number of tiles = 300

• Hence 300 squares tiles will be required to cover the floor