A rectangular floor of a room is 18 m long 12 m wide.Find the cost of covering the floor with carpet 6 m wide at Rs 40 per metre.

The correct answer is: ∴ Cost of covering the floor with carpet is Rs. 1,440.

Step-by-step solution:-
As per the given information-
Floor is to be fully covered with the carpet.
∴ Area of the carpet = Area of the floor …...................................................................... (Equation i)
Now, For the floor-
Length = 18m
Breadth = 12m
∴  Area of the floor = length × breadth
∴  Area of the floor = 18 × 12
∴  Area of the floor = 216 m² ....................................................................................... (Equation ii)
From Equations i & ii-
 Area of the carpet = 216 m²
∴  length × breadth = 216
∴ length × 6 = 216 ..................................................................................................... (From given information)
∴  length = 216 / 6
∴  length = 36 m
Cost of carpet @ Rs. 40 per mt = 36 m × Rs. 40 per mt
∴ Cost of carpet @ Rs. 40 per mt = Rs. 1,440
Final Answer:-
∴ Cost of covering the floor with carpet is Rs. 1,440.