19. The area of a square field is 60025 m? A man cycles along its boundary at 18 km/h. In ho
much time will he return to the starting point?
Answers
Given :-
- Area of a square field is 60025 m
- Boundary is 18 km/h
To find :-
- How much time will he return to the starting point ?
Solution :-
The area of square field = 60025 m²
Speed of cyclist = 18 km/h
= 18 × ( 1000/60×60 )
= 5 m/s²
Area = 60025 m²
Side2 = 60025
Side = √60025
= 245
Formula : Area of square = 4 × side
Total length of boundary = 4 × Side
= 4 × 245 = 980 m
Now ,
Time taken to return to the starting point :-
= 980/5 = 196 seconds
★ 3 minutes 16 seconds
So, the final answer is 3 minutes 16 Seconds.
Given
- The area of a square field is 60025 m
- A man cycles along its boundary at 18 km/h
______________________________
To Find
- The time he will return to the starting point.
______________________________
Solution
First, we need to find the perimeter of the square field. To do so, we will use the value of the given area to find the value of the side and use it to find the perimeter of the square field.
Formula to find the Area of Square → (Side)²
Formula to find the Side of Square with Given Area → √(Area of Square)
Side of Square Field → √60025
Side of Square Field → 245 m
∴ The measure of the side of the square field is 245 m.
Perimeter of Square → 4 × (Side)
Perimeter of Square Field → 4 × 245
Perimeter of Square Field → 980 m
∴ The perimeter of the square field is 980 m.
Let's convert the speed from km/h to m/s first.
Speed → 18 km/h
Speed →
Speed →
Speed → 5 m/s
∴ 18 km/h = 5 m/s
Speed =
Speed of Man → 5 m/s
Distance Travelled by Man → 980 m
Time Taken → x
Time Taken =
Time Taken →
Time Taken → 196 sec
∴ He will return to the starting point after 196 seconds.
______________________________