एक वर्गाकार पार्क का क्षेत्रफल 35721 मीटर स्क्वायर है, एक व्यक्ति इसके चारों ओर 12 किलोमीटर प्रति घंटे की चाल से घूम रहा है कितने समय में वह इसके चार चक्कर लगा लेगा
The area of a square park is 35721 meters square, a person is moving around it at a speed of 12 kilometers per hour, in what time he will take four rounds of it
Answers
Answer:
15 minute and 7 sec i.e)0.252 hr
Step-by-step explanation:
area of park=35721 sqm
so side of park =189 m
so its perimeter is 189×4=756
so to complete 4 rounds total distance travelled =756×4=3024 m=3.024 km
now ti.e required=3.024/12=0.252 hr
Given: The area of a square park is 35721 meters square. A person is moving around it at a speed of 12 km/h.
To find: Time taken by him to complete 4 rounds
Solution: The area of a square is given by the formula= side × side
To find the length of the side of this square whose area is given as 35721 meters square, let the length of the side be denoted by l.
Therefore, length of the side= 189 m
Now, the distance walked by the man in one round is equal to the perimeter of the square.
Perimeter of square
= 4 × side
= 4 × l
= 4 × 189
= 756 m
Distance covered in 4 such rounds
= 4 × 756
= 3024 m
Speed of the man
= 12 km/h
= 12 × (5/18) m/s ( 1 km/h = 5/18 m/s)
= 10/3 m/s
Time taken by the man to take 4 rounds
= Total distance/ Speed of the man
= 3024 / (10/3)
= 907.2 seconds
Therefore, the man takes 907.2 seconds to take four rounds of the park.