Math, asked by Anonymous, 10 days ago

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

Answers

Answered by Anonymous
27

Answer:

 \huge{ \underline{ \overline{ \mid{ \mathfrak{ \green{ \:   \: SOLUTION :- \: } \mid}}}}}

 \bold{ \underline{ \pink{ Given:- }}} \\  \\ \texttt{ Length of the rectangular garden, l = 17 m} \\  \texttt{Breadth of the rectangular garden, b = 24 m }

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

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

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

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

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

 \:  \:  \:  \:  \:  \:  \:  \:  \: \texttt{Hence, \green{ \underline{82 metres}} of fencing is</p><p>required to } \\  \texttt{enclose a rectangular garden of length 17 m and } \\  \texttt{breadth 24 m.}

Answered by Anonymous
9

Answer:

\huge{ \underline{ \overline{ \mid{ \mathfrak{ \green{ \: \: SOLUTION :- \: } \mid}}}}}

∣SOLUTION:−∣

\begin{gathered} \bold{ \underline{ \pink{ Given:- }}} \\ \\ \texttt{ Length of the rectangular garden, l = 17 m} \\ \texttt{Breadth of the rectangular garden, b = 24 m }\end{gathered} </p><p>Given:−

Length of the rectangular garden, l = 17 m

Breadth of the rectangular garden, b = 24 m

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

Tofind:−

Howmuchfencingisrequiredtoenclose

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{ \purple{ \: According \: \: to \: \: question:- \: }}}

Accordingtoquestion:−

\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}

Perimeteroftherectangulargarden=2×(l+b)

={2×(17+24)}m

=(2×41)m

=82m

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

\begin{gathered} \: \: \: \: \: \: \: \: \: \texttt{Hence, \green{ \underline{82 metres}} of fencing is &lt; /p &gt; &lt; p &gt; required to } \\ \texttt{enclose a rectangular garden of length 17 m and } \\ \texttt{breadth 24 m.}\end{gathered}

Hence,

82 metres

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

enclose a rectangular garden of length 17 m and

breadth 24 m.

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