Question

6. Find the cost of carpeting a room 13 m by 9 m with a carpet of width 75 cm at the rate of
105 per metre.​

Answer 1

Answer:

Cost of carpeting = Rs.16380

Step-by-step explanation:

Given:

• Length of room = 13 m
• Width of room = 9 m
• Width of carpet = 75 cm = 0.75 m
• Rate of carpeting = Rs.105 per m²

To Find:

• The total cost of carpeting

Concept:

First we have to find the area of the room and then find the length of the carpet. Multipying the length of the carpet with the rate per m² we get the total cost of carpeting the room.

Solution:

Initially we have to find the area of the room.

Area of a rectangle is given by,

Area of a rectangle = l × b

where l is the length of the rectangle

           b is the breadth of the rectangle

Substituting the data,

Area of the room = 13 × 9

Area of the room = 117 m²

Now we have to find the length of the carpet,

We know that,

Area of the carpet = Area of the room

Hence,

Area of the carpet = 117 m²

Length × breadth = 117 m²

Length × 0.75 = 117 m²

Length = 117/0.75

Length = 156 m

Hence length of the carpet is 156 m.

Now,

Cost of carpeting = Length of carpet × Rate per m²

Cost of carpeting = 156 × 105

Cost of carpeting = 16380 rupees

Hence the total cost of carpeting is Rs.16380.

Answer 2

Step-by-step explanation:

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