The length and breadth of a playground are 63.5 m and 36.5 m, respectively. How long
will a man take to go round the playground thrice if he walks at the rate of 2 m/s? Also
find the cost of turfing it at 4 per square metre.
Plz answer it
Answers
perimeter=2(l+b)
2(36.5+63.5)=200m
speed=distance/time
time=d/s
time=200/2
time=100 sec
area=l*b
63.5*36.5
2317.5
cost=2317.5*4=9271m2
QuestioN :
The length and breadth of a playground are 63.5 m and 36.5 m, respectively. How long will a man take to go round the playground thrice if he walks at the rate of 2 m/s? Also find the cost of turfing it at 4 per square metre.
GiveN :
- The length and breadth of a playground are 63.5 m and 36.5 m respectively.
To FiNd :
- How long will a man take to go round the playground thrice if he walks at the rate of 2 m/s.
- Also find the cost of turfing it at 4 per square metre.
ANswer :
∴ Cost of turfing = Rs. 9271
SolutioN :
Length of playground = 63.5 m
Breadth of playground = 36.5 m
∴ Perimeter of playground = 2(63.5 + 36.5)
⇒ Perimeter of playground = 2 × 100
⇒ Perimeter of playground = 200 m
∴ Distance covered by the man = 3 * 200
∴ Distance covered by man = 600 m
∴Speed of man = 2m/s
⇒ Speed = Distance/Time
⇒ 2 = 600/Time
⇒ 2 × Time = 600
⇒ Time = 600/2
⇒ Time = 300 s
∴ A man will take 300 s to go round the playground thrice.
Now,
⇒ Area of playground = Length × Breadth
⇒ Area of playground = 63.5 × 36.5
⇒ Area of playground = 2317.75 m²
∴Rate of turfing = Rs. 4/m²
⇒ Cost of turfing = Area × Rate
⇒ Cost of turfing = 2317.75 × 4
⇒ Cost of turfing = Rs. 9271