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

2 thoughts on “The length of a rectangular hallway is 3 times its breadth. If the perimeter of the hallway is<br />48 m, find its length and brea”

1. Given:–

   Let Breadth be a

   So, Length is 3 times of Breadth= 3a

   Perimeter= 48cm

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   To find

   The Length And Breadth Of The Rectangular Hallway

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   [tex] \huge \bold \red{Solution◕}[/tex]

   Perimeter Of Rectangular Hallway= 2(L+b)

   [tex]=> 48= 2(3a+a) \\ \\ => 48=2×(4a) \\ \\ => 48= 8a \\ \\ => a = \cancel\frac{48}{8} \: \: ^{6} \\ \\ = > a =6[/tex]

   [tex] \fbox{Replacing The Value}[/tex]

   Length= 3a

   = 3×6 = 18m

   Breadth= a

   = 6m

   [tex] \fbox \red{Hope This Helps You ❤}[/tex]

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2. • Let the breadth be x
   • So length will be 3x
   • Perimeter = 48 m

   Perimeter of the rectangle = 2( l + b )

   48 = 2 ( 3x + x )

   48 = 2 × 4x

   48 = 8x

   48 / 8 = x

   8 = x

   ∴ Length is = 3 × 8 = 24

   ∴ Breadth is = 8

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