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The cost of papering the wall of a room, 12 m long, at the rate of Rs. 1.35 per square meter is Rs. 340.20. The cost of matting the floor at Re. 0.85 per square metre is Rs. 91.80. Find the height of the room.
- a)12 m
- b)8 m
- c)6 m
- d)10 m
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The cost of papering the wall of a room, 12 m long, at the rate of Rs....
Let the length of room = l = 12 m
breadth of room = b m
height of room = h m
Cost of matting the floor @ Re. 0.85 per m^2 = Rs. 91.80
floor area = 91.80 / 0.85 = 108 m^2
⇒ l * b = 108
⇒ 12 * b = 108
⇒ b = 108/12
⇒ b = 9 m
cost of papering wall @ Rs. 1.35 per m^2 = Rs. 340.20
wall area is the lateral surface area.
wall area = lateral surface area = 340.20 / 1.35 = 252 m^2
⇒ 2h(l+b) = 252
⇒ 2h(12+9) = 252
⇒ 2h*21 = 252
⇒ h = 252/(2*21)
⇒ h = 6 m
Height of room is 6m.
Most Upvoted Answer
The cost of papering the wall of a room, 12 m long, at the rate of Rs....
To find the height of the room, we need to use the given information about the cost of papering the wall and the cost of matting the floor.
Let's break down the problem into steps:
Step 1: Calculate the area of the wall
The cost of papering the wall is given as Rs. 340.20, and the rate is Rs. 1.35 per square meter. We can use these values to find the area of the wall.
Cost of papering the wall = rate per square meter * area of the wall
340.20 = 1.35 * area of the wall
Area of the wall = 340.20 / 1.35
Area of the wall = 252 square meters
Step 2: Calculate the area of the floor
The cost of matting the floor is given as Rs. 91.80, and the rate is Re. 0.85 per square meter. We can use these values to find the area of the floor.
Cost of matting the floor = rate per square meter * area of the floor
91.80 = 0.85 * area of the floor
Area of the floor = 91.80 / 0.85
Area of the floor = 108 square meters
Step 3: Use the area of the wall and floor to find the height of the room
The area of the wall is equal to the length of the room multiplied by the height of the room.
Area of the wall = length of the room * height of the room
252 = 12 * height of the room
Height of the room = 252 / 12
Height of the room = 21 meters
Therefore, the height of the room is 21 meters.
Since none of the given options match with the calculated height of 21 meters, it seems there might be an error in the question or the options provided.
Let's break down the problem into steps:
Step 1: Calculate the area of the wall
The cost of papering the wall is given as Rs. 340.20, and the rate is Rs. 1.35 per square meter. We can use these values to find the area of the wall.
Cost of papering the wall = rate per square meter * area of the wall
340.20 = 1.35 * area of the wall
Area of the wall = 340.20 / 1.35
Area of the wall = 252 square meters
Step 2: Calculate the area of the floor
The cost of matting the floor is given as Rs. 91.80, and the rate is Re. 0.85 per square meter. We can use these values to find the area of the floor.
Cost of matting the floor = rate per square meter * area of the floor
91.80 = 0.85 * area of the floor
Area of the floor = 91.80 / 0.85
Area of the floor = 108 square meters
Step 3: Use the area of the wall and floor to find the height of the room
The area of the wall is equal to the length of the room multiplied by the height of the room.
Area of the wall = length of the room * height of the room
252 = 12 * height of the room
Height of the room = 252 / 12
Height of the room = 21 meters
Therefore, the height of the room is 21 meters.
Since none of the given options match with the calculated height of 21 meters, it seems there might be an error in the question or the options provided.
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The cost of papering the wall of a room, 12 m long, at the rate of Rs....
i forgot
:)
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The cost of papering the wall of a room, 12 m long, at the rate of Rs. 1.35 per square meter is Rs. 340.20. The cost of matting the floor at Re. 0.85 per square metre is Rs. 91.80. Find the height of the room.a)12 mb)8 mc)6 md)10 mCorrect answer is option 'C'. Can you explain this answer?
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The cost of papering the wall of a room, 12 m long, at the rate of Rs. 1.35 per square meter is Rs. 340.20. The cost of matting the floor at Re. 0.85 per square metre is Rs. 91.80. Find the height of the room.a)12 mb)8 mc)6 md)10 mCorrect answer is option 'C'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The cost of papering the wall of a room, 12 m long, at the rate of Rs. 1.35 per square meter is Rs. 340.20. The cost of matting the floor at Re. 0.85 per square metre is Rs. 91.80. Find the height of the room.a)12 mb)8 mc)6 md)10 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of papering the wall of a room, 12 m long, at the rate of Rs. 1.35 per square meter is Rs. 340.20. The cost of matting the floor at Re. 0.85 per square metre is Rs. 91.80. Find the height of the room.a)12 mb)8 mc)6 md)10 mCorrect answer is option 'C'. Can you explain this answer?.
The cost of papering the wall of a room, 12 m long, at the rate of Rs. 1.35 per square meter is Rs. 340.20. The cost of matting the floor at Re. 0.85 per square metre is Rs. 91.80. Find the height of the room.a)12 mb)8 mc)6 md)10 mCorrect answer is option 'C'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The cost of papering the wall of a room, 12 m long, at the rate of Rs. 1.35 per square meter is Rs. 340.20. The cost of matting the floor at Re. 0.85 per square metre is Rs. 91.80. Find the height of the room.a)12 mb)8 mc)6 md)10 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of papering the wall of a room, 12 m long, at the rate of Rs. 1.35 per square meter is Rs. 340.20. The cost of matting the floor at Re. 0.85 per square metre is Rs. 91.80. Find the height of the room.a)12 mb)8 mc)6 md)10 mCorrect answer is option 'C'. Can you explain this answer?.
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