Question

The length of a rectangle is 2cm more than its breadth .if the perimeter of the rectangle is 28 cm, find the length.

Answer 1

Answer:

HEY FRND HERE ‘S THE ANSWER

Step-by-step explanation:

the length of a rectangle is 2cm more than twice its breadth . perimeter of the rectangle is 28cm

Solution:

length of a rectangle is 2cm more than twice its breadth

Let say Breadth = B cm

Length = 2B + 2   cm

Perimeter of rectangle = 2 ( Length + Breadth)

=> Perimeter = 2  (2B + 2 + B)

=> Perimeter = 2  (3B + 2)

Perimeter = 6B + 4  cm

perimeter of the rectangle is 28 cm

=> 6B + 4 = 28

=> 6B = 24

=> B = 4

Length = 2B + 2 = 2 * 4 + 2  = 10

Breadth = 4 cm

Length = 10 cm

Length = 10 cm  and Breadth = 4 cm

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Answer 2

GivEn:

• Length of rectangle is 2cm more than its breadth.
• Perimeter is rectangle is 28cm

To finD:

• Length of rectangle

Solution:

We are given that length of rectangle is 2cm more that its breadth.

Let suppose that breadth of rectangle is x.

So, Length will be (x + 2)

We know that:

Perimeter of rectangle = 2( l + b )

Where,

• l = Length of rectangle i.e ( x + 2)cm
• b = Breadth of rectangle i.e x cm

Putting values :

Perimeter of rectangle = 2( l + b )

28 = 2( x+2 + x)

28 = 2x + 4 + 2x

28 = 4x + 4

4x = 28 - 4

4x = 24

x = 24/4

x = 6

Therefore,

Length of rectangle = 6

and,

Breadth = x + 2 => 6 + 2 = 8cm

Our final required answer:-

• Length of rectangle = 6cm