Question

Length = 16cm less than twice breadth. If perimeter= 100cm find lenght and breadth

Answer 1

Let the breadth be b

Length is 2b - 16

Perimeter of the rectangle = 2( l + b) = 100 cm

=> 2 ( 2b - 16 + b) = 100

=> 3b - 16 = 100/2

=> 3b - 16 = 50

=> 3b = 66

=> b = 22 cm

length = 2 x 22 - 16 = 44 - 16 = 28 cm

Hence, length = 28 cm and breadth = 22 cm

Answer 2

✍✍HERE IS YOUR ANSWER...⬇⬇
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$\underline{SOLUTION}$

Let ,

Breadth = x cm

•°• Length = ( 2x - 16 ) cm

Given ,

Perimeter = 100 cm

=> 2 ( Length + Breadth ) = 100

=> 2 [ ( 2x - 16 ) + x ] = 100

=> 2 [ 2x - 16 + x ] = 100

=> 2 [ 3x - 16 ] = 100

=> 3x - 16 = $\frac{100}{2}$

=> 3x - 16 = 50

=> 3x = 50 + 16

=> 3x = 66

=> x = $\frac{66}{3}$

=> x = 22


•°• Breadth = x = 22 cm

Length = 2x - 16 = ( 2 × 22 - 16 ) cm

= ( 44 - 16 ) cm

= 28 cm

$\underline{ANSWER}$ ➡

$\boxed{Length= 28 cm , Breadth = 22 cm}$

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