gaurav takes 15 rounds of a rectangular park whose length is twice it's breadth. if the total distance covered by gaurav is 900 m , find the length and breadth of the park.
Answers
Given:
The length of the park is twice its breadth.
The total distance covered by Gaurav is 900m.
Find:
The length and breadth of the park
Solution:
Let the length of the park be 'l' m.
Let the breadth of the park be 'b' m
We have,
The length of the park is twice its breadth.
=> l = 2b .......(i).
Gaurav takes 15 rounds of a rectangular park and the total distance covered by Gaurav is 900 m
=> 900/15
=> 60m
It means Gaurav cover 60 m distance in one round.
We know that,
The perimeter of the rectangular park => 2(l + b)
=> 60 = 2(l + b)
=> 60 = 2(2b + b) (From equation 1)
=> 60 = 2(3b)
=> 60 = 6b
=> 60/6 = b
=> 10 = b
=> b = 10m
Putting the value of 'b' in equation (i).
=> l = 2b
=> l = 2 × 10
=> l = 20m
Hence, the length and breadth of the rectangular park is 20m and 10m.
I hope it will help you.
Regards.
Answer:
Let the length of the park be 'l' m.
Let the breadth of the park be 'b' m
We have,
The length of the park is twice its breadth.
=> l = 2b .......(i).
Gaurav takes 15 rounds of a rectangular park and the total distance covered by Gaurav is 900 m
=> 900/15
=> 60m
Step-by-step explanation: