length of a rectangle is 8meters less than twice its breadth. if the perimeter of the rectangle is 56cm find its length and breadt

2 thoughts on “length of a rectangle is 8meters less than twice its breadth. if the perimeter of the rectangle is 56cm find its length and breadt”

1. Answer:

   let breadth = x

   the length =2x-8

   given perimeter = 56 cm

   perimeter = 2(l+b)

   = 2(2x-8+x)

   56/2=3x-8

   28=3x-8

   36=3x

   x=12

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2. Answer:

   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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