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Please solve

if the breadth of rectangle in three fourth of it's length and perimeter is 140cm,find the length and breadth of rectangle ​

User Valentino Vranken
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1 Answer

21 votes
21 votes

Let lebgth be x

  • Breadth=3x/4


\\ \rm\Rrightarrow Perimeter=2(L+B)


\\ \rm\Rrightarrow 2(x+(3x)/(4))=140


\\ \rm\Rrightarrow 2\left((4x+3x)/(4)\right)=140


\\ \rm\Rrightarrow 2\left((7x)/(4)\right)=140


\\ \rm\Rrightarrow (14x)/(4)=140


\\ \rm\Rrightarrow 14x=140(4)


\\ \rm\Rrightarrow 14x=560


\\ \rm\Rrightarrow x=(560)/(14)


\\ \rm\Rrightarrow x=40

  • Length=40cm
  • Breadth=3(40)/4=120/4=30[
User Akendo
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