length of rectangle is 8m less than twice its breath.If the perimeter of the rectangle is 56m, find its length and breath
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Step-by-step explanation:
let the breadth(b) be xm.now length(l) will be 2x-8m.
Perimeter =56m
2(l+b)=56
2{(2x-8)+x}=56
2(3x-8)=56
6x-16=56
6x=56+16
6x=72
x=72/6
x=12m
length=2x-8=24-8=16m
breadth=x=12m
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Answer:
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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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