Question

The perimeter of a parallelogram is 180 cm if one side exceeds the Other by 10 cm. what are the sides of a parallelogram​

Answer 1

Answer:

40 , 50, 40 , 50

Step-by-step explanation:

As we know that opposite sides are equal in a ||gm , let's take one side as x and other as x + 10

By formula of perimeter = x + x+10 + x + x+10 = 180

→ 4x + 20 = 180

4x = 160

x = 40

→ x+10 = 40+10 = 50

Answer 2

Given :

• Perimeter of the Parallelogram = 180 cm.

• Length of the Parallelogram = Breadth of the Parallelogram + 10

To find :

The sides of the Parallelogram.

Solution :

Let the breadth of the Parallelogram be x cm.

So , According to the Question ,we get the length of the Parallelogram as (x + 10) cm.

We know about the property of a Parallelogram that the opposite sides of a Parallelogram are equal.

So, we can use the same formula for perimeter of a Rectangle in the perimeter of a Parallelogram.

Thus using the formula for perimeter of a Parallelogram and substituting the values in it, we get :

$\boxed{\bf{P = 2(length + Breadth)}}$

$:\implies \bf{180 = 2([(x + 10) + x]}$

$:\implies \bf{180 = 2(2x + 10)}$

$:\implies \bf{\dfrac{180}{2} = 2x + 10}$

$:\implies \bf{90 = 2x + 10}$

$:\implies \bf{90 - 10 = 2x}$

$:\implies \bf{80 = 2x}$

$:\implies \bf{\dfrac{80}{2} = x}$

$:\implies \bf{40 = x}$

$\boxed{\therefore \bf{x = 40\:cm}}$

Hence, the value of x is 40 cm.

Now , since we have taken the breadth of the Parallelogram as x , the breadth of the Parallelogram is 40 cm and length is (x + 10) cm , thus the length of Parallelogram is 50 cm.