A room is 6 m long and 8m 30 cm wide. How many square metres
of carpet is needed to cover the floor of the room ?
Answers
Answer:
Here's explanation in attachment.
Answer:
Given :
• Dimensions of a room :-
Length of a room = 6 m
Breadth of a room = 8 m 30 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 8 m 30 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
Step-by-step explanation:
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