Maths-

General

Easy

Question

# 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.

Hint:

### Area of a rectangle = length × breadth

## 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 m^{2} ....................................................................................... (Equation ii)

From Equations i & ii-

Area of the carpet = 216 m^{2}

∴ 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.

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