Question

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

Answer 1

Answer:

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

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

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

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

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

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

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

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

Answer 2

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

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

Hence,

82 metres

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

enclose a rectangular garden of length 17 m and

breadth 24 m.