Math, asked by beulahrani, 5 months ago

the perimeter. of a rectangle is 96 meter its length is double its breadth find it length and breadth​

Answers

Answered by gk8873090
4

Answer:

length = 64 meter and 32 meter

please mark my answer as brainlest answer please

Answered by ButterFliee
62

Given:-

  • Perimeter of rectangle = 96 m
  • Length of rectangle is double of its breadth.

To Find:-

  • What is the length and breadth of rectangle ?

Solution:-

Let the breadth of the rectangle be 'x' m

  • Breadth = x m
  • Length = 2x m

We know that the formula for finding the perimeter(P) of rectangle is:-

\large{\boxed{\bf{\star \: P = 2(length + breadth)  \: \star}}}

{\underline{\bf{According \: To \: Question:-}}}

\sf{\longrightarrow 96 = 2(2x + x)}

\sf{\longrightarrow 96 = 2 \times 3x}

\sf{\longrightarrow96 = 6x}

\sf{\longrightarrow\cancel\dfrac{96}{6} = x}

{\large{\underbrace{\bf{ \star \:16 = x \: \star }}}}

  • Breadth = x = 16 m
  • Length = 2x = 2(16) = 32 m

Hence, the length of rectangle is 32 cm and breadth of rectangle is 16 m.

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