The floor of a hall is rectangular. Its length is 30 m and breadth is 24 m. How many carpets of size 6m × 4m are required to cover it?

Correct option is D

Given:

Rectangular hall with length = 30 m and breadth = 24 m.

Carpet size = 6 m $$\times$$4 m.​

Formula Used :

Area of a rectangle = length $$\times$$​ breadth

Number of carpets =$$\frac{\text{ (Area of the floor) }}{\text{ (Area of one carpet)}}$$​​

Solution:

Area of the hall = 30 m $$\times$$ 24 m = 720 m²​

Area of one carpet = 6 m$$\times$$ 4 m = 24 m²​

Number of carpets =$$\frac{\text{ (Area of the hall) }}{\text{ (Area of one carpet)}}$$​​

Number of carpets = $$\frac{720 m² }{24 m² }$$​= 30

Therefore, 30 carpets are required to cover the floor of the hall.

Alternate Method:

Number of carpets required along the length =$$\frac{\text{ Length of hall }}{\text{ Length of carpet}} = \frac{30 } 6$$​= 5

Number of carpets required along the breadth =$$\frac{\text{Breadth of hall }}{\text{Breadth of carpet}} =\frac{ 24 }{ 4} = 6$$​​

Total number of carpets required = 5 $$\times$$6 = 30​