Question

In the given Fig., ABCD is a rectangle. If its perimeter
is 84 cm, the value of x is
​

Answer 1

Answer:

17 cm

Step-by-step explanation:

Length = L and breadth = b = x

Perimeter of rectangle = 84cm

⇒ 2 ( L+b) = 84 cm

⇒ L + b = 84 cm / 2

⇒ L + b = 42 cm

⇒ 25 cm + b = 42 cm

⇒ b =x =  42 cm - 25 cm = 17 cm

Answer 2

Given,

In the figure,

ABCD is a rectangle.

The perimeter of the rectangle ABCD = 84 cm

Length of the rectangle = 25 cm

The breadth of the rectangle = x cm

To find,

The value of x.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically, as per mensuration;

The perimeter of a rectangle

= 2 × (length + breadth)

{Statement-1}

According to the question;

The perimeter of the rectangle ABCD = 84 cm

=> 2 × (length + breadth) = 84 cm

=> (25 cm + x cm) = (84 cm)/2

=> (25 + x) cm = 42 cm

=> x = (42-25) cm

=> x = 17 cm

Hence, the value of x is 17 cm.