Question

6. The perimeter of a rectangle is 20 m.
Its breadth is 2 m less than its length.
Find its length and breadth.​

Answer 1

Given :

⬤ Perimeter of Rectangle = 20 m

⬤ Breadth is 2m less than its Length .

To Find :

⬤ Length of Rectangle .

⬤ Breadth of Rectangle .

Formula Used :

$\sf[\:{Perimeter\:of\:Rectangle=2(l+b)}\:]$

Solution :

Let :

• Length of Rectangle be = x .
• And Breadth of Rectangle be = x - 2

Now :

According to the Formula :

20 = 2 (l + b)

20 = 2 (x + x - 2)

20/2 = 2x - 2

10 = 2x - 2

10 + 2 = 2x

12 = 2x

12/2 = x

6 = x

Therefore , The Value of x is 6 .

Now : -

Length of Rectangle = x

= 6 cm

Breadth of Rectangle = x - 2

= 6 - 2

= 4 cm

Hence , The Length of Rectangle is 6 cm and Breadth is 4 cm .

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Related Formulas :

• Perimeter of Rectangle = 2 (l + b)
• Area of Rectangle = l × b
• Perimeter of Square = 4 × Side
• Area of Square = Side²

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Answer 2

Given that :-

Perimeter of Rectangle is 20 m

Breadth is 2m less than its Length .

Solution :-

Let :

Length of Rectangle be = x .

And Breadth of Rectangle be = x - 2

Now :

According to the Formula :

20 = 2 (l + b)

20 = 2 (x + x - 2)

20/2 = 2x - 2

10 = 2x - 2

10 + 2 = 2x

12 = 2x

12/2 = x

6 = x

Therefore ,

The Value of x is 6 .

Now : -

Length of Rectangle (l) = x

= 6 cm

Breadth of Rectangle (b) = x - 2

= 6 - 2 ( put x = 6 )

= 4 cm

Hence,

The Length of Rectangle is 6 cm

and Breadth of rectangle is 4 cm