Question

Find the breadth of a rectangle whose

Perimeter = 550m

Length = 170m​

Answer 1

Given :

• Perimeter of Rectangle = 550 m
• Length of Rectangle = 170 m

To Find :

• Breadth of Rectangle = ?

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SolutioN :

$\dag$ Formula Used :

• ${\underline{\boxed{\sf{ Perimeter {\small_{(Rectangle)}} = 2 \bigg( Length + Breadth \bigg) }}}}$

$\dag$ Calculating the Breadth :

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Perimeter = 2 \bigg( Length + Breadth \bigg) } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { 550 = 2 \bigg( 170 + Breadth \bigg) } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { 550 = 340 + 2 \times Breadth } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { 550 - 340 = 2 \times Breadth } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { 210 = 2 \times Breadth } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { \dfrac{210}{2} = Breadth } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { \cancel\dfrac{210}{2} = Breadth } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; {\underline{\boxed{\pmb{\pink{\sf { Breadth = 105 \; m }}}}}} \; \bigstar \\ \\ \\ \end{gathered}$

$\therefore \;$ Breadth of the Rectangle is 105 m .

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