To find the cost of carpeting the room, we need to follow these steps:
- Calculate the area of the room in square meters.
- Determine the total length of carpet required in meters.
- Calculate the total cost by multiplying the length of carpet required by the price per meter.
Let's solve the problem:
- Calculate the Area of the Room:
- Length of the room = 15 m
- Width of the room = 11 m
- Area = Length × Width = 15 m × 11 m = \(165 \, \text{m}^2\)
- Determine the Total Length of Carpet Needed:
- Carpet width = 75 cm = \(0.75 \, \text{m}\)
- Total area to be carpeted = \(165 \, \text{m}^2\)
- Total length of carpet required = \(\frac{{\text{Total area}}}{{\text{Carpet width}}} = \frac{165}{0.75} = 220 \, \text{m}\)
- Calculate the Total Cost:
- Price of carpet per meter = ₹13
- Total cost = Length of carpet × Price per meter = \(220 \, \text{m} \times 13 \, \text{₹/m} = ₹2,860\)
Similar Questions
- A circle, made of wire, of diameter 49 cm is formed into a rectangle whose sides are in the ratio 7 : 4. Find the area of the rectangle. [Take $\pi = \frac{22}{7}$]
- What is the area of the region swept by the minute hand $6\text{ cm}$ long, of a wall clock, in an interval of 5 minutes?
- The area of a rectangle with a length of 121 m is the same as that of a square with a side of 44 m. Find the width of the rectangle.
Important Questions from Mensuration
The areas of three adjacent faces of a cuboidal tank are 3 m 2, 12 m 2 and 16 m 2. the capacity of the tank, in litres, is:
Volume of a cuboid is 4800 cm 3. If the height of this cuboid is 20 cm, then what will be the area of the base of cuboid ?
Two similar cubes have heights of 8 cm and 12 cm, respectively. If the capacity of the smaller cube is 80 cm 3, what is the capacity of the bigger cube (in cm 3)?
Three circles of radius 7 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
Three circles of radius 6 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
