Question

the area of a rectangular field is 3584 m square and its length is 64 m. a boy runs around the field at the rate of 6 km per hour. how long will it take to got 5 times around it.​

Answer 1

Step-by-step explanation:

Breadth of field = 3584/64 m = 56m

Perimeter of field = 2(l+b)= 2(64+56) = 240 m

Distance covered in 5 rounds = 240 × 5 = 1200 m = 1.2 km

Time taken = Distance/Speed = 1.2/6 = 0.2 hr or  12 mins

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Answer 2

Area of rectangular field :- Length × Breadth

Given area = 3584 m²

Given length = 64 m

Let breadth be y

(64×y)m² = 3584 m²

y = (3584÷64) m

y = 56 m

Perimeter= 2× (length + breadth)

= 2× (64+56)

= 2× 120

= 240 m

So, 1 round = 240 m

5 rounds = 1200 m

Given speed = 6 km/h = 1.6 m/s

distance= 1200 m

Time = Distance ÷ Speed

= ( 1200 × 10/16 ) seconds.

= 750 seconds.

= 12.5 minutes

He will take 12.5 minutes for completing 5 rounds around the field.