the lenght of a rectangular field is twice its breadhth. A girl jogged around it 4 times and covered a distance of 4.5 km what is the length of the field?
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Answered by
9
Let the length of field be '2x'. So the breadth will be x.
Perimeter of the ground(distance covered in 1 round)= 2(l+b)
=2(2x+x)
=6x
Distance covered in 4 rounds= 4*(6x)
=24x
since it is given 4.5 km or 4500m
24x=4500 m
x=4500/24
x=187.5 m
Since the length=2x
l= 2*187.5m
l=375 m or 0.375 km
May it helps u
thankss
Answered by
4
Answer:
In completing one round of the field distance covered is equal to the perimeter of the field.
∴ Distance covered in 5 rounds = 5 x Perimeter
= 5 x 2 ( l + w )
= 10 x ( l + w)
= 10 x ( 2w + w ) [ length = l = 2w ]
= 10 x 3w
= 30 w
But, the total distance covered is given = 3 km = 3000 m.
∴ 30 x w = 3000
⇒ w = 3000 / 30
⇒ w = 100 m
⇒ Length = 2 w = 2 x 100 = 200 m
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