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area of a square is 1600 square meter .a child cycles around its boundary at 16 km /hr.in how much time will he return to the starting point?
Most Upvoted Answer
?area of a square is 1600 square meter .a child cycles around its boun...
Solution:
Finding the perimeter of the square
To find the time taken by the child to return to the starting point, we first need to find the perimeter of the square. We know that the area of the square is 1600 square meters. Therefore, the length of each side of the square can be found by taking the square root of the area.
Side = sqrt(Area) = sqrt(1600) = 40 meters
Now that we know the length of each side, we can find the perimeter of the square by adding the length of all four sides.
Perimeter = 4 x Side = 4 x 40 = 160 meters
Converting km/hr to m/s
The child cycles around the boundary of the square at a speed of 16 km/hr. However, we need to convert this to meters per second to calculate the time taken to complete one lap around the square. We know that 1 km is equal to 1000 meters and 1 hour is equal to 3600 seconds. Therefore, we can convert km/hr to m/s by dividing the speed in km/hr by 3.6.
Speed = 16 km/hr = (16/3.6) m/s = 4.44 m/s
Calculating the time taken to complete one lap
Now that we know the perimeter of the square and the speed of the child, we can calculate the time taken to complete one lap around the square. We can use the formula:
Time = Distance/Speed
In this case, the distance is equal to the perimeter of the square and the speed is 4.44 m/s.
Time = Perimeter/Speed = 160/4.44 = 36.04 seconds
Conclusion
Therefore, the child will take 36.04 seconds to return to the starting point after cycling around the boundary of the square at a speed of 16 km/hr.
Community Answer
?area of a square is 1600 square meter .a child cycles around its boun...
1600/16=100
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?area of a square is 1600 square meter .a child cycles around its boundary at 16 km /hr.in how much time will he return to the starting point?
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?area of a square is 1600 square meter .a child cycles around its boundary at 16 km /hr.in how much time will he return to the starting point? 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 ?area of a square is 1600 square meter .a child cycles around its boundary at 16 km /hr.in how much time will he return to the starting point? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?area of a square is 1600 square meter .a child cycles around its boundary at 16 km /hr.in how much time will he return to the starting point?.
?area of a square is 1600 square meter .a child cycles around its boundary at 16 km /hr.in how much time will he return to the starting point? 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 ?area of a square is 1600 square meter .a child cycles around its boundary at 16 km /hr.in how much time will he return to the starting point? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?area of a square is 1600 square meter .a child cycles around its boundary at 16 km /hr.in how much time will he return to the starting point?.
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