Question

$\huge\fbox\red{Question:-}$

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

Answer 1

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

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

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

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

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

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

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

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

Answer 2

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Fencing is always done for the boundary of a place .

Boundary is the outer part or the edges and sides of a shape consisting some area inside it .

The same is followed by Perimeter .

Perimeter :

The boundary or outer edge of any shape .

Here fencing needs to be done on the boundary of a rectangular garden with length of 17m and breadth or width of 24m

We know the formula for Perimeter of rectangle as :

➜ 2(length + breadth)

Putting up the values :

➜ 2 ( 17 + 24)

➜ 2(41)

➜ 2 × 41

➜ 82 cm

The perimeter is 82 cm so ; 82cm of fence is necessary for fencing .