Sir please tell this question
Answers
Answer:
Let l be the length of the playground and b be the breadth.
Given that,
Length and breadth of the playground are 62 m 60 cm and 25 m 40 cm respectively.
Hence, l=62 m 60 cm and b=25 m 40 cm
We know that 1 m=100 cm
∴ l=62.6 m and b=25.4 m
The amount of turf required to cover the entire playground = area of the playground.
We know that, area of a rectangle =l×b
∴ area of the playground =62.6×25.4=1590.04 m
2
Given that cost of turfing is Rs. 2.50 per square metre.
Hence, cost of turfing the playground = cost of turfing 1590.04 m
2
⇒Rs. 2.50×1590.04=Rs. 3975.10
Also,
Length of covering the field from around = perimeter of the field
Perimeter of the playground =2(62.60+25.40)=176 m [Perimeter of rectangle =2(l+b)]
Hence, length required to cover the playground three times =3×176=528 m
Given that the man walks at the rate of 2 m per second.
Hence, time required for the man to cover the playground three times =
2
528
=264 seconds
⇒4 minutes 24 seonds [1 minute=60 seconds]
Hence, cost of turfing the playground with given dimensions is Rs.3975.10 and at the rate of 2 m per second, the man will take 4 minutes 24 seconds to go three times round the field.