Question

$\huge\fbox\red{Question:-}$
​


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

Answer 1

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

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

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

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

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

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

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

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

Answer 2

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

∣SOLUTION∣

\begin{gathered} \bold{ \underline{ \blue{ Given, }}} \\ \\ \texttt{ Length of the rectangular garden, l = 15.5 m} \\ \texttt{Breadth of the rectangular garden, b = 13.25 m }\end{gathered}

Given,

Length of the rectangular garden, l = 15.5 m

Breadth of the rectangular garden, b = 13.25 m

\begin{gathered} \bold {\underline{ \blue{ \: To \: \: \: \: find :- } \: }} \\ \\ \: \: \: \: \: \: \: \: \sf{How \: \: many \: \: metre \: \: of \: \: fencing \: \: is \: \: < /p > < p > required \: \: to \: \: enclose \: \: } \\ \: \: \: \: \sf{the \: \: rectangular \: \: garden. }\end{gathered}

Tofind:−

Howmanymetreoffencingis</p><p>requiredtoenclose

therectangulargarden.

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

Weknowthat,

Perimeterofarectangle=2×(Length+Breadth)

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

Accordingtoquestion,

\begin{gathered} \sf{Perimeter \: \: of \: \: the \: \: rectangular \: \: garden = 2 \times (l + b)} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= \{2 \times (15.5 + 13.25 ) \} \: \: m } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = ( 2 \times 28.75 ) \: \: m} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = 57.5 \: \: m }\end{gathered}

Perimeteroftherectangulargarden=2×(l+b)

={2×(15.5+13.25)}m

=(2×28.75)m

=57.5m

\bold{ \therefore \: Perimeter \: \: of \: \: the \: \: rectangular \: \: garden = 57.5 \: \: m}∴Perimeteroftherectangulargarden=57.5m

\begin{gathered} \: \: \: \: \: \: \: \: \: \texttt{Hence, \red{ \underline{57.5 metres}} of fencing is < /p > < p > required to } \\ \texttt{enclose a rectangular garden of length 15.5 m and } \\ \texttt{breadth 13.25 m.}\end{gathered}

Hence,

57.5 metres

of fencing is < /p > < p > required to

enclose a rectangular garden of length 15.5 m and

breadth 13.25 m.