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The length and breadth of a room are 8 m and 6 m respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat. How much total distance is covered by the cat?
- a)10
- b)14
- c)38
- d)48
Correct answer is option 'C'. Can you explain this answer?
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The length and breadth of a room are 8 m and 6 m respectively. A cat r...
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The length and breadth of a room are 8 m and 6 m respectively. A cat r...
Given, Length of the room = 8 m, Breadth of the room = 6 m
To find, Total distance covered by the cat
Approach:
- The cat runs along all four walls, so the total distance covered by the cat along the four walls is the perimeter of the room.
- The diagonal of the room can be found using the Pythagorean theorem.
- The cat runs along the diagonal to catch the rat.
- Therefore, the total distance covered by the cat is the sum of the perimeter of the room and the length of the diagonal.
Calculation:
- Perimeter of the room = 2(Length + Breadth) = 2(8 + 6) = 28 m
- Diagonal of the room = √(Length² + Breadth²) = √(8² + 6²) = √100 = 10 m
- Total distance covered by the cat = Perimeter of the room + Length of the diagonal = 28 + 10 = 38 m
Therefore, the total distance covered by the cat is 38 m, which is option (c).
To find, Total distance covered by the cat
Approach:
- The cat runs along all four walls, so the total distance covered by the cat along the four walls is the perimeter of the room.
- The diagonal of the room can be found using the Pythagorean theorem.
- The cat runs along the diagonal to catch the rat.
- Therefore, the total distance covered by the cat is the sum of the perimeter of the room and the length of the diagonal.
Calculation:
- Perimeter of the room = 2(Length + Breadth) = 2(8 + 6) = 28 m
- Diagonal of the room = √(Length² + Breadth²) = √(8² + 6²) = √100 = 10 m
- Total distance covered by the cat = Perimeter of the room + Length of the diagonal = 28 + 10 = 38 m
Therefore, the total distance covered by the cat is 38 m, which is option (c).
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The length and breadth of a room are 8 m and 6 m respectively. A cat runs along all the four walls and finally along a diagonal order to catch a rat. How much total distance is covered by the cat?a)10b)14c)38d)48Correct answer is option 'C'. Can you explain this answer?
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