Question

the perimeter of parallelogram 140cm.if one of the side is longer than the other by 10cm.find the length of each of its sides ​

Answer 1

Answer:

$\huge\boxed{Correct\:question}$

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The perimeter of the parallelogram is 140cm.If one of the side is longer than the other by 10cm. Find the length of each of its sides .

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Given that :-

The perimeter of parallelogram is 140 cm.

One of the side is longer than another side by 10cm.

To find :-

The length of each side.

$\huge{\sf{\boxed{\boxed{Solution:}}}}$

Let one side be x

The other side = x+10

As we know,

The opposite sides of a parallelogram are equal.

Perimeter = Sum of all sides = 2(l+b)

= 2(x+x+10) = 140

= 2(2x+10) = 140

= 4x + 20 = 140

= 4x = 120

= x = 30cm

= x+10 = 40cm

$\bold{The \:sides\: are\: 30cm,40\:cm}$

Answer 2

SOLUTION:-

Given:

·The perimeter of parallelogram 140cm.

·If one side is longer than the other by 10cm.

To find:

The length of each of its side.

Explanation:

We have,

• Perimeter of parallelogram=140m
• Let one side of parallelogram= R m
• Let the other of parallelogram= R+10 m

Formula of the perimeter of parallelogram:

Perimeter= 2(length +width)

According to the question:

⇒Perimeter= 2[R+(R+10)]

⇒ 140cm = 2(2R+10)

⇒ 140cm = 4R+20

⇒ 140cm- 20cm = 4R

⇒ 120cm = 4R

⇒ 4R =120

⇒ R = $\frac{120}{4}$

⇒ R = 30

Now,

• One side is R=30cm
• Other side is R+10 =(30 +10)m = 40cm