Question

the perimeter of a parallelogram is 24 cm .one of its sides is 2cm greater than the other .find the lenghth of all the sides of the parallelogram.​

Answer 1

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✤ Required Answer:

✒ GiveN:

• Perimeter of parallelogram = 24 cm
• One side is greater than other by = 2cm

✒ To FinD:

• Length of each side of parallelogram ?

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✤ How to solve?

We have given a parallelogram whose perimeter is 24 cm and the length of its side is 2cm greater than the other side , now we need to find the length of each sides of the parallelogram . We can solve this by using the formula of perimeter of parallelogram .

Perimeter of parallelogram is the sum of all four sides and the opposite sides of parallelogram are equal so we can also write it as 2 multiplied by sum of adjacent sides .

☕ Perimeter of parallelogram :-

$\large{ \boxed{ \sf{ = 2 \times (sum \: of \: adjacent \: sides)}}}$

Now let the one side of the parallelogram be x so other side of the parallelogram be x + 2 as shown in the attachment

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✤ Solution :

↪ Refer to the attachment...!

Let,

• Perimeter of parallelogram = 24 cm
• Length of first side = x
• Length of second side = x + 2

Then,

Perimeter of parallelogram = 2 × ( sum of two adjacent sides )

➙ 24 = 2 × ( x + x + 2 )

➙ 24 = 2x + 2x + 4

➙ 24 = 4x + 4

➙ 24 - 4 = 4x

➙ x = 20/4

➙ x = 5

✒ Length of smaller side = 5 cm

✒ Length of larger side = 5 + 2 = 7 cm

☀️ Hence, solved !!

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Answer 2

Perimeter of parallelogram = 2 × ( sum of two adjacent sides )

24 = 2 × ( x + x + 2 )

24 = 2x + 2x + 4

24 = 4x + 4

24 - 4 = 4x

x = 20/4

x = 5

√ Length of smaller side = 5 cm

√ Length of larger side = 5 + 2 = 7 cm

● Hence, solved !!