Maths-
General
Easy
Question
A room is 10 m long and 6 m wide. How many tiles of size 20 cm by 10 cm are required to cover its floor?
The correct answer is: 3,000 tiles would be required to cover the floor of the given room.
Hint:-
Area of a rectangle = length × breadth
Step-by-step solution:-
Covering the floor of a room with tiles means putting tiles on the whole surface of the room.
∴ If we know the area of the whole room and the area of each tile, we can find the number of tiles required to cover the floor.
Let the number of tiles required be n
Now, from the given information,
length of the room = l1 = 10m
breadth of the room = b1 = 6m
length of each tile = l2 = 20 cm = 0.2 m ............................................... (1m = 100 cm. ∴ 20 cm = 20/100 m = 0.2 m)
breadth of each tile = b2 = 10 cm = 01. m ............................................ (1m = 100 cm. ∴ 10 cm = 10/100 m = 0.1 m)
∴ Area of the room = length × breadth
∴ Area of the room = 10 × 6
∴ Area of the room = 60 m2 ............................................................... (Equation i)
Area of each tile = length × breadth
∴ Area of each tile = 0.2 × 0.1
∴ Area of each tile = 0.02 m2 ............................................................... (Equation ii)
Area of the room = Area of each tile × total number of tiles required.
∴ 60 = 0.02 × total number of tiles required ................... (From Equations i & ii)
∴ 60 / 0.02 = total number of tiles required
∴ 3,000 = total number of tiles required
Step-by-step solution:-
Covering the floor of a room with tiles means putting tiles on the whole surface of the room.
∴ If we know the area of the whole room and the area of each tile, we can find the number of tiles required to cover the floor.
Let the number of tiles required be n
Now, from the given information,
length of the room = l1 = 10m
breadth of the room = b1 = 6m
length of each tile = l2 = 20 cm = 0.2 m ............................................... (1m = 100 cm. ∴ 20 cm = 20/100 m = 0.2 m)
breadth of each tile = b2 = 10 cm = 01. m ............................................ (1m = 100 cm. ∴ 10 cm = 10/100 m = 0.1 m)
∴ Area of the room = length × breadth
∴ Area of the room = 10 × 6
∴ Area of the room = 60 m2 ............................................................... (Equation i)
Area of each tile = length × breadth
∴ Area of each tile = 0.2 × 0.1
∴ Area of each tile = 0.02 m2 ............................................................... (Equation ii)
Area of the room = Area of each tile × total number of tiles required.
∴ 60 = 0.02 × total number of tiles required ................... (From Equations i & ii)
∴ 60 / 0.02 = total number of tiles required
∴ 3,000 = total number of tiles required
Final Answer:-
∴ 3,000 tiles would be required to cover the floor of the given room.
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