# The length of a rectangular field is 8meters less than twice its breadth. If the perimeter of a rectangular field is 56 meters, find its length and breadth ?

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by ismailshah

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by ismailshah

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then length(l) = (2x-8) m

A/q,

perimeter of rectangle = 56 m

⇒ 2(l+b) = 56

⇒ 2(2x-8+x) = 56

⇒ 3x-8 = 28

⇒ 3x =28+8

⇒ x = 36/3 = 12 m

therefore length(l) = 2x-8 =2×12 - 8 =16 meters

breadth(b) = x = 12 meters

therefore. length=2x-8

the total perimeter=2(l+b)=56

⇒l+b=28

⇒x+2x-8=28

⇒3x=36

⇒x=12

so the breadth is 12 m and length is 16m