The floor of a study room is in the shape of a rectangle, it is 12 ft long and 10 ft wide. How many tiles with 2 ft × 2 ft are required to cover the floor of the room?

The correct answer is: 30 tiles would be required to cover the floor of the given room.

Hint:-
Area of a rectangle = length × breadth
Area of a square = side2
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 = 12ft
breadth of the room = b1 = 10ft
length of each tile = side = 2ft
∴ Area of the room = length × breadth
∴ Area of the room = 12 × 10
∴ Area of the room = 120 ft2 ............................................................... (Equation i)
Area of each tile = side2
∴ Area of each tile = 22
∴ Area of each tile = 4 ft2 ............................................................... (Equation ii)
Area of the room = Area of each tile × total number of tiles required.
∴ 120 = 4 × total number of tiles required ................... (From Equations i & ii)
∴ 120 / 4 = total number of tiles required
∴ 30 = total number of tiles required
Final Answer:-
∴ 30 tiles would be required to cover the floor of the given room.