Question

The perimeter of a parallelogram is 120cm. If one of its side is longer than the other side by 10cm, find the length each sides.​

Answer 1

$\\ \large\underline{ \underline{ \sf{ \red{given:} }}}$

• Perimeter of parallelogram = 120cm

• One of the side of longer than other side by 10cm

$\\ \\ \large\underline{ \underline{ \sf{ \red{to \: find:} }}}$

• All the sides of parallelogram

$\\ \\ \large\underline{ \underline{ \sf{ \red{properties \: of \: parallelogram:} }}}$

• Opposite sides are equal.

• Opposite sides are parallel.

• Opposite angles are equal.

• Adjecent angles are supplementary.

$\\ \\ \large\underline{ \underline{ \sf{ \red{solution:} }}}$

Let breadth be 'x' cm ,

Length will be 'x+10'cm .

★ Perimeter of parallelogram

ㅤㅤㅤㅤㅤㅤ = 2( length + breadth )

⇒ 120 = 2 ( x + x + 10 )

⇒ 120/2 = 2x + 10

⇒ 60 = 2x + 10

⇒ 50 = 2x

$\implies \boxed{ \bf x = 25 }$

Breadth = x = 25cm

Length = x + 10 = 35cm

⋆⋆ Hence , length of the parallelogram is 35cm.

Verification :-

120 = 2 ( 35 + 25 )

120 = 2 ( 60 )

120 = 120 ㅤㅤㅤㅤㅤ(verified)

Answer 2

Given :

⬤ Perimeter of Parallelogram is 120 cm.

⬤ One of it's Side is longer than Other Side by 10 cm.

To Find :

⬤ Length ot Each Side of Parallelogram .

Solution :

• Let One Side of Parallelogram be x .

As Given , One of it's Side is Longer than the other Side by 10 cm . Hence ,

• Let Other Side of Parallelogram be x + 10 .

As we know that , Opposite Sides of Parallelogram are Equal . So ,

$\bf{x+(x+10)+x+(x+10)=120}$

4x + 20 = 120

4x = 120 - 20

4x = 100

x = 100/4

x = 25

Therefore , The Value of x is 25 .

Hence ,

One Side of Parallelogram = x

= 25

Other Side of Parallelogram = x + 10

= 25 + 10

= 35

Therefore , The Length of One Side of Parallelogram is 25 and Other Side of Parallelogram is 35 .

Check :

25 + (25 + 10) + 25 + (25 + 10) = 120

120 = 120

Hence Checked .