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​ How much fencing is required to fence a rectangular garden of length 17m and width 24m?​

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\huge{ \underline{ \overline{ \mid{ \mathrm{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}

\begin{gathered} \bold{ \underline{ \green{ Given, }}} \\ \\ \texttt{ Length of the rectangular garden, l = 17 m} \\ \texttt{Breadth of the rectangular garden, b = 24 m }\end{gathered}

\begin{gathered} \bold {\underline{ \blue{ \: To \: \: \: \: find :- } \: }} \\ \\ \: \: \: \: \: \: \: \: \sf{How \: \: much \: \: fencing \: \: is \: \: required \: \: to \: \: enclose \: \: } \\ \: \: \: \: \sf{the \: \: rectangular \: \: garden. }\end{gathered}

\begin{gathered} \underline{ \sf{ \blue{ \: \: We \: \: know \: \: that, \: \: }}} \\ \\ \boxed{ \pink{ \bold{Perimeter \: \: of \: \: a \: \: rectangle = 2 \times (Length + Breadth)}}}\end{gathered}

\bold{ \underline{ \purple{ \: According \: \: to \: \: question, \: }}}

\begin{gathered} \sf{Perimeter \: \: of \: \: the \: \: rectangular \: \: garden = 2 \times (l + b)} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= \{2 \times (17 + 24) \} \: \: m } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = (2 \times 41) \: \: m} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = 82 \: \: m }\end{gathered}

\bold{ \therefore \: Perimeter \: \: of \: \: the \: \: rectangular \: \: garden = 82 \: \: m}

\begin{gathered} \: \: \: \: \: \: \: \: \: \texttt{Hence, \red{ \underline{82 metres}} of fencing is required to } \\ \texttt{enclose a rectangular garden of length 17 m and } \\ \texttt{breadth 24 m.}\end{gathered}


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