Question

The length of the rectangle is 4cm more than its breadth if the perimeter of the rectangle is 192 cm find the length and breadth of the rectangle ​

Answer 1

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Let the breadth be x cm

Then length =(x+4) cm

Perimeter of the rectangle = 192

2(l+b)=292

2(x+4+x)=192

2(2x+4)=192

2x+4=96

2x=92

x=46 cm

Length of the rectangle =46+4=50cm

Breadth of the rectangle =46cm

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Answer 2

$\large{\tt{\text{Answer\ :-}}}$

Let the breadth of rectangle = x ;

Length = x + 4

Perimeter of Rectangle = 192 cm

$\underline{\text{According To Question :-}}$

2 (l + b) = 192

2 (x + 4 + x) = 192

2 (2x + 4) = 192

2x + 4 = $\dfrac{192}{2}$

2x + 4 = 96

2x = 96 - 4

2x = 92

x = $\dfrac{92}{2}$

x = 46

So, the breadth of Rectangle is 46 cm ;

Length = 46 + 4 = 50 cm

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

2(l + b) = 192

2(50 + 46) = 192

2(96) = 192

192 = 192

Hence, Verified..!

$\underline{\text{So, length and breadth of Rectangle are 50cm and 46cm.}}$