Question

A rectangular floor of dimensions 16 m x 12 m is to be covered using square tiles of side 40 cm.
Find the number of tiles required to cover the floor.
​

Answer 1

Answer:

1200 tiles

we need to find rectangle area and then divide it by square area.

Answer 2

Given :-

Length of the rectangular floor = 16 m

Breadth of the rectangular floor = 12 m

Side of each square tile = 40 cm

To Find :-

Area of each tile.

Area of the rectangular floor.

Number of tiles required to cover the floor.

Solution :-

We know that,

• l = Length
• b = Breadth
• s = Side
• a = Area

Given that,

Length (l) = 16 m

Breadth (b) = 12 m

By the formula,

$\underline{\boxed{\sf Area \ of \ a \ rectangle= Length \times Breadth}}$

Substituting their values,

Area = $\sf 16 \times 12$

Area = $\sf 192 \ m^{2}$

(1 meter = 100 centimeters)

192 sq. meter = 19200 sq. meter

Therefore, the area of the rectangular floor is 19200 m²

Given that, side of each square tile = 40 cm

By the formula,

$\underline{\boxed{\sf Area \ of \ a \ square= Side \times Side}}$

Substituting their values,

Area = $\sf 40 \times 40$

Area = $\sf 1600 \ m^{2}$

Finding the number of tiles,

Number of tiles required = Area of the rectangular floor ÷ Area of each tile

Substituting them,

Number of tiles = $\sf \dfrac{19200}{192}$

Number of tiles = 100

Therefore, 100 tiles are required to cover the floor.