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.
If the cost of painting a 5 m × 4.5 m wall is Rs 4,500, find the cost per square metre.
A hall is 20 m long and 12 m wide. How many tiles of size 50 cm × 20 cm are needed to cover the hall?
Find the maximum area of a rectangular field enclosed by a rope of 40 m.
A rectangular sheet 45 cm long and 15 cm wide has four 5 cm squares cut from its corners, and an open box is made from the remaining sheet. Find the volume of the box.
The area of a right-angled triangle is 30 sq m. If the height is 7 m more than the base, find the base.
A.5 m
B.12 m
C.7 m
D.9 mFind the area of a triangle whose sides are 11 cm, 7 cm and 14 cm.
A.$7\sqrt{22}$
B.$11\sqrt{8}$
C.$12\sqrt{10}$
D.$13\sqrt{3}$Find the length of the diagonal of a rectangle whose length is 6 cm and width is 12 cm.
A.9
B.13.4
C.12.6
D.10.8
Important Questions from Mensuration
A solid cube is painted yellow, blue and black such that opposite faces are of same colour. The cube is then cut into 36 cubes of two different sizes such that 32 cubes are small and the other four cubes are Big. None of the faces of the bigger cubes is painted blue. How many cubes have only one face painted?
A and B are two heavy steel blocks. If B is placed on the top of A, the weight increases by 60%. How much weight will reduce with respect to the total weight of A and B, if B is removed from the top of A?
A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden
A village having a population of 4000 requires 150 liters of water per head per day. It has a tank measuring 20 m x 15 m x 6 m. The water of this tank will last for
The centroid of an equilateral triangle ABC is G. If AB is 6 cms, the length of AG is
