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The perimeter of a parallelogram is $50$ cm. The length of the parallelogram is $5$ cm more than the width. Find the length of the parallelogram.

  1. $15$ cm
  2. $11$ cm
  3. $5$ cm
  4. $10$ cm
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Given : Perimeter of parallelogram=$50$ cm

            $\Rightarrow$  $\textrm{50 = 2(L+B)}$        $\left \{ \textbf{Perimeter of Parallelogram = 2(L+B))} \right \}$

            $\Rightarrow$ $\textrm{L+B} = \textrm{25}$

Since the length of the parallelogram is $5$ cm more than the width.

            $\Rightarrow$ $\textrm{L = B+5}$

Solving this 2 equation we get  $\textbf{B =10CM, L=15CM}$

Option $A$ is correct here.
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