Question

a rectangular garden of length 15.5m and breadth 13.25 m has to be fenced all around . what length of fencing will be required?

Answer 1

Length of the garden= 15.5 m

Breadth of the garden= 13.25m

Perimeter of the rectangle=

2(l+b)= 2(15.5+13.25)=31+26.5=57.5.

Therefore, length of fencing= 57.5 m.

Answer 2

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

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

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

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

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

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

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

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