Question

the area of a rectangular field is 3584 m2 and it's length is 64 m. a boy runs around the field at the rate of 6 km per hour. how long will he takes to go 5 times around it??

plzz answer with explanation ​

Answer 1

Answer:

ITS SO EASY ,,JUST FOCUS ON THE QUESTION .

LETS 'S START

Area of rectangle = ĹENGTH × BREADTH

SO,

3584 m^2 = 64 m × BREADTH

( It is given in question that area is 3584m^2 and length is 64m)

we have to calculate breath first,

so,

BREADTH = 3584m^2 / 64 m

BREADTH = 56m

Now,

It is given that boy is moving with 6km/h but ,the length is in meters so we have to convert the km into m or m into km

we are converting 6km/h into m/s

6km/h -------------- 6000m/ 3600s

( there are 3600sec in

1 hour )

= 6000/ 3600 = 60/ 36 = 10 / 6 =5/3m/s

so, the boy is moving with 5/3 m/ s around the rectangle

It is asked that how much time is required to go 5 times around the rectangle

In going 1 times he will move distance of rectangle perimeter

i.e. 2× ( L+B )

so, in moving 5 times around it he will have to move a distance of

= 5 × 2×(L+ B)

Now calculate it ,

= 5 ×2×(64 + 56)

=10×(120)

=1200m

USING, speed = distance / time

we calculate time

( we calculate above that boy is moving with speed of 5/3 m/ s )

( the total distance to be covered in 5 time will be 1200m )

so,

s = d / t

5/3 m/s = 1200m / time

time = 1200m / 5/3 m/s

time = (1200 × 3)/5

time = 3600/5

time = 720 seconds

time = 720 seconds or 720 / 60 = 12minutes

that's all

sorry for mistakes if any

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