Question

The length of a rectangle is 4cm more than its breadth if the perimeter is 84 cm​

Answer 1

Answer:

length=23 cm

breadth=19 cm

Step-by-Step:

Let breadth be x and length be 4+x

Perimeter of rectangle=2(l+b)

84=2(x+4+x)

84/2=(x+4+x)

42=2x+4

2x=42-4

2x=38

x=38/2

x=19

So if x means breadth is 19, so length 4+x will be 19+4=23

Therefore, Length=23

Breadth=19

Answer 2

Length = 23 cm & Breadth = 19 cm

Given :

• Length of rectangle is 4 cm more than its breadth

• Perimeter = 84cm

To find :

Length and breadth [ Correction in the question ]

Solution :

Step 1 of 3 :

Assume length and breadth of the rectangle

Let breadth is x cm

Then length is x + 4 cm

Step 2 of 3 :

Find perimeter in terms of x

Perimeter

= 2 ( length + breadth )

= 2 ( x + 4 + x ) cm

= 2( 2x + 4 ) cm

= 4x + 8 cm

Step 3 of 3 :

Find length and breadth of the rectangle

By the given condition

4x + 8 = 84

⇒ 4x = 84 - 8

⇒ 4x = 76

⇒ x = 19

Breadth

= x cm

= 19 cm

Length

= x + 4 cm

= 23 cm

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