Question

A room is 6 m long and 4 m 50 cm wide. How many square metres of carpet is needed to cover the

floor of the room​

Answer 1

Given :

• Dimensions of a room :-

• Length of a room = 6 m
• Breadth of a room = 4 m 50 cm

To find :

• Area of carpet required to cover the floor of the room

Knowledge required :-

• Formula to calculate area of floor :-

• Area of floor = l × b

where,

• l = length of the floor
• b = breadth of the floor

Unit conversion ::

• 1 cm = 0.01 m

Divide the value by 100 to convert it from cm into m.

Solution :

Firstly, we will convert the breadth of the floor from 4 m 50 cm into m.

As we know,

• 1 cm = 0.01 m

⠀⠀⠀⇒ 50 cm = 50/100 = 5/10 = 0.5 m

Add 0.5 m in 4 m.

⠀⠀⠀⇒ Breadth = 4 + 0.5 = 4.5 m

Breadth of the floor = 4.5 m

Area :-

⠀⠀⠀⇒ Area = 6 × 4.5

⠀⠀⠀⇒ Area = 27

★ Area of the carpet required to cover the floor = 27 m²

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⠀⠀⠀⠀⠀⠀Know MorE ::

Some related formulae :-

• Total surface Area of cuboid = 2(lb + bh + hl)
• Volume of cuboid =  length × breadth × height
• Perimeter of cuboid = 4 (length + breadth + height)
• Total surface area of cube = 6 × side²
• Volume of cube = side³
• Perimeter of cube = 12 × side

Answer 2

: Required Answer

➝ Given

room is 6 m long and 4 m 50 cm wide.

➝ Find

How many square metres of carpet

➝ Solution

Given

l = 4m

b = 3 m 50 cm = 3.50 m

Area = l × b = 4 × 3.50

=14 m2

Hence the 14.m2 jcover the floor room