Question

The length of a rectangular hallway is 3 times its breadth. If the perimeter of the hallway is
48 m, find its length and breadth.
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Answer 1

• 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

Answer 2

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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$\huge \bold \red{Solution◕}$

Perimeter Of Rectangular Hallway= 2(L+b)

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

$\fbox{Replacing The Value}$

Length= 3a

= 3×6 = 18m

Breadth= a

= 6m

$\fbox \red{Hope This Helps You ❤}$