Praveen runs around a square of side 40 m Naveen runs around a rectangle with length 45 M and breadth 40 m. who covers more distance and how much?
Answers
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• Given:-
Praveen runs around a square of side 40 m.
Naveen runs around a rectangle with length 45 m and breadth 40 m.
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• To Find:-
Who covers more distance and by how much.
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• Concept:-
Praveen is running around a square of side 40 m.
Hence, the distance covered by him will be equal to the perimeter of the square.
Also,
Naveen is running around a rectangle with length 45 m and breadth 40 m.
Hence, the distance covered by him will be equal to the perimeter of the rectangle.
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• Solution:-
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✯ For Praveen:-
We know, for the perimeter of square,
➪
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Therefore, the perimeter of the square around which Praveen is running is 160 m.
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✯ For Naveen:-
We know, for the perimeter of rectangle,
➪
➪
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, the perimeter of the rectangle around which Naveen is running is 170 m.
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✯ Clearly, we can say that Naveen covers more distance than Praveen.
And,
➪
★
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Therefore, Naveen covers more distance than Praveen and by 10 m.
Answer:
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Given:-
Praveen runs around a square of side 40 m.
Naveen runs around a rectangle with length 45 m and breadth 40 m.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• To Find:-
Who covers more distance and by how much.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Concept:-
Praveen is running around a square of side 40 m.
Hence, the distance covered by him will be equal to the perimeter of the square.
Also,
Naveen is running around a rectangle with length 45 m and breadth 40 m.
Hence, the distance covered by him will be equal to the perimeter of the rectangle.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
✯ For Praveen:-
We know, for the perimeter of square,
➪
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, the perimeter of the square around which Praveen is running is 160 m.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
✯ For Naveen:-
We know, for the perimeter of rectangle,
➪
➪
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, the perimeter of the rectangle around which Naveen is running is 170 m.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
✯ Clearly, we can say that Naveen covers more distance than Praveen.
And,
➪
★
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, Naveen covers more distance than Praveen and by 10 m.