the length of a rectangular field is 8meters less than twice the breadth if the perimeter of the rectangular field is 56 meters find its length and breadth
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Let length and breadth the field are l and b respectively. Then,
l=2b−8⇒2b=8+l⟶(1)
The perimeter of the rectangular field =56 m
⇒2(l+b)=56m⇒2l+2b=56m
from (1), we get
2l+8+l=56⇒3l=48⇒l=16m
∴ Length of rectangular field =16m
Breadth of rectangular field =
2
16+8
=12m
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