Answer
424.2k+ views
Hint:
We know that a square is a 2- dimensional square figure with 4 equal sides. If a man walks along the edges of the square, then the distance covered by the man is equal to the perimeter of the square. The perimeter of the square is 4- times the length of one side of the square. Thus, if a man goes around the field ‘n’ times then the distance covered by him will be ‘n’ times the perimeter of the square
Complete step by step solution:
The length of one side of the field= 35m
Therefore, perimeter of the square field \[ = 35 \times 4\]
\[ = 140m\]
The distance covered by the man while going around the field once will be equal to the perimeter.
Distance covered in 1 round\[ = 140m\]
Distance covered in 3 rounds
\[\begin{gathered}
= 140 \times 3 \\
= 420m \\
\end{gathered} \]
Thus, the distance covered by the man is going around the field 3 times \[ = 420m\]
Note:
This question tests your ability to calculate perimeter of 2-D shapes. The square in the given question may be replaced with some other 2-D shapes like rectangle, hexagon or circle. Remember that walking around the field means that the man walks along the perimeter of the shape. For this question, you were given the side length and needed to calculate the total distance travelled. In a similar question, you may be given the total distance covered while going around the field 3 times and you may need to calculate the side length of the square field.
We know that a square is a 2- dimensional square figure with 4 equal sides. If a man walks along the edges of the square, then the distance covered by the man is equal to the perimeter of the square. The perimeter of the square is 4- times the length of one side of the square. Thus, if a man goes around the field ‘n’ times then the distance covered by him will be ‘n’ times the perimeter of the square
Complete step by step solution:
The length of one side of the field= 35m
Therefore, perimeter of the square field \[ = 35 \times 4\]
\[ = 140m\]
The distance covered by the man while going around the field once will be equal to the perimeter.
Distance covered in 1 round\[ = 140m\]
Distance covered in 3 rounds
\[\begin{gathered}
= 140 \times 3 \\
= 420m \\
\end{gathered} \]
Thus, the distance covered by the man is going around the field 3 times \[ = 420m\]
Note:
This question tests your ability to calculate perimeter of 2-D shapes. The square in the given question may be replaced with some other 2-D shapes like rectangle, hexagon or circle. Remember that walking around the field means that the man walks along the perimeter of the shape. For this question, you were given the side length and needed to calculate the total distance travelled. In a similar question, you may be given the total distance covered while going around the field 3 times and you may need to calculate the side length of the square field.
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