Question

The length of a rectangular hallway is 3 times its bredth. If the perimeter of hallway is 48m, find its length and breadth.

Answer 1

Answer:

Step-by-step explanation:

breadth- x

length- 3x

2*[x+3x]=48

2*4x=48

8x=48

x=48/8

x=6

L=6m

B=18m

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Answer 2

$\textbf{\large{\underline{Answer :-}}}$

$\textsf{The Length is 18 m and Breadth is 6m }$

$\textbf{\large{\underline{Explanation :-}}}$

$\textsf{\underline{\underline{Given :}}}$

Length of the Rectangle = 3 times it's breadth.

Perimeter of Rectangle = 48 m

$\textsf{\underline{\underline{To find :}}}$

The Length and Breadth of Rectangle

$\textsf{\underline{\underline{Solution :}}}$

Consider Breadth as x

Consider Length as 3x

${\star \: {\sf{ Perimeter \: of \: rectangle}}}$

$\tt{\implies2(l + b)}$

$\tt{\implies2(x + 3x) = 48}$

$\tt{\implies2x + 6x = 48}$

$\tt{\implies8x = 48}$

$\tt{\implies \: x = \dfrac{48}{8} }$

$\tt{\implies \: x = 6}$

$\large{\boxed{\sf \: {x = 6 }}}$

Value of 3x =

$\tt{\implies3 \times 6}$

$\tt{\implies18}$

$\large{\boxed{\bigstar{\sf \: {Length = 18m }}}}$

$\large{\boxed{\bigstar{\sf \: { Breadth = 6m}}}}$

$\therefore$$\textsf{The Length is 18 m and Breadth is 6m}$

$\textbf{\large{\underline{Verification :-}}}$

$\tt{\implies2(6 + 18) = 48}$

$\tt{\implies12 + 36 = 48}$

$\tt{\implies48 = 48}$

${\boxed{\sf \: {LHS = RHS}}}$

$\therefore$$\textsf{ The Length is 18 m and Breadth is 6m }$