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Mathematics

The floor of a rectangular room is 6 m long and 4 m wide. Tiles of size 30 cm × 20 cm are to be laid on it.

(a) What is the area of the floor?

(b) What is the area of one tile?

(c) How many tiles will be required to cover the entire floor?

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Answer

Given,

Floor dimensions = 6 m × 4 m, Tile size = 30 cm × 20 cm.

(a) Area of the floor = length × width

⇒ Area = 6 × 4 = 24 m2.

(b) Area of one tile = 30 × 20 = 600 cm2.

(c) First convert the floor area into cm2:

⇒ 24 m2 = 24 × 10000 cm2 = 2,40,000 cm2 [since 1 m2 = 10000 cm2]

Number of tiles required = Area of floorArea of one tile=2,40,000600\dfrac{\text{Area of floor}}{\text{Area of one tile}} = \dfrac{2,40,000}{600} = 400 tiles.

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