length of a rectangle is 8 m less than twice its breadth . if the perimeter of the rectangle is 56 cm find its length and breadth
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Length =16m and breadth =12m
Let the breadth of the rectangle be x m. Then,
length of the rectangle =(2x−8) m
Given, perimeter =56 m
⟹2(2x−8+x)=56
⟹2(3x−8)=56
⟹6x−16=56
⟹6x=56+16[Transposing−16toRHS]
⟹6x=72
⟹x=12
Therefore, breadth of the rectangle =12 m and length of the rectangle =2×12−8=16 m
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