Question

The perimeter of a rectangle is same as the perimeter of a square of side 12 cm. If the length of the rectangle is 13 cm, find its breadth.​

Answer 1

$\large\fcolorbox{purple}{pink}{Question:-}$

The perimeter of a rectangle is same as the perimeter of a square of side 12 cm. If the length of the rectangle is 13 cm, find its breadth.

$\large\fcolorbox{purple}{pink}{Given:-}$

$\dash$ Perimeter of rectangle = Perimeter of square

$\arrow$ Side of Square = 12 cm

$\arrow$ Length of Rectangle = 13 cm

$\large\fcolorbox{purple}{pink}{To \: Find:-}$

Breadth of the rectangle

$\large\fcolorbox{purple}{pink}{Solution:-}$

Let the breadth of the rectangle be 'x'.

Now, Find the perimeter of square.

$\implies$ $\bold {side \: × \: 4}$

$\implies$ $\bold {12 \: × \: 4}$

$\implies$ $\bold {148cm}$

Then, we know that perimeter of rectangle is also $\bold {148cm}$

So,

Perimeter of rectangle = 2 (Length + Breadth)

$\implies$ ${148 \: cm}$ = 2 × ( 13 cm + x)

$\implies$ {148 \: cm}[/tex] = 26 × 2x

$\implies$ $x$ = $\dfrac {122}{2}$

$\implies$ $x$ = 61 cm

Therefore, breadth of the rectangle will be 61cm

Answer 2

Answer:

Step-by-step explanation:

Given,

Perimeter of a rectangle = Perimeter of a square.

Side of square = 12 cm

Length of the rectangle = 13 cm

To Find

Breadth of the rectangle

Formula to be used,

Perimeter of square = 4 × side

Perimeter of rectangle = 2 × (Length + Breadth)

Solution,

We know that perimeter of a rectangle is equal to perimeter of a square.

⇒ Perimeter of a rectangle = Perimeter of a square.

⇒ 2 × (13 + Breadth) = 4 × 12

⇒ 13 + Breadth = 48/2

⇒ 13 + Breadth = 24

⇒ Breadth = 24 - 13

⇒ Breadth = 11 cm.

Hence, the breadth of the rectangle is 11 cm.