Question

The sides of a parallelogram are in the ratio 5:4 and its perimeter is 90cm. Find the length of its sides.



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Answer 1

☆ SOLUTION ☆

Given :-

• The sides of a parallelogram are in the ratio 5:4.

• The perimeter of parallelogram is 90 cm.

To Find :-

• The length of its sides.

Step-by-Step-Explaination :-

Let,

• The ratios be 5x and 4x .

Now,

As we know that :-

Perimeter of parallelogram = 2 ( Length + Breadth )

Where,

• The perimeter of parallelogram = 90 cm.

• The length of the parallelogram = 5x.

• The breadth of the parallelogram = 4x.

Putting the respective value,

90 = 2 ( 5x + 4x )

90 = 2 × 9x

90 = 18x

90/18 = x

5 = x

Thus,

The value of x is 5.

Now,

• The length = 5x = 5 × 5 = 25

• The breadth = 4x = 4 × 5 = 20

Hence,

• The length of the parallelogram is 25 cm.

• The breadth of the parallelogram is 20 cm.

Answer 2

Given :

• The sides of a parallelogram are in the ratio 5:4.
• Perimeter of Parallelogram = 90cm

To Find :

• The length of its Sides.

Solution :

⟶ Let the First side be 5k

⟶ Let the Second side be 4k

According to the Question :

➟ Perimeter = 2 ( Sum of Adjacent Sides )

➟ 90 = 2 ( 5k + 4k )

➟ 90 / 2 = 5k + 4k

➟ 45 = 5k + 4k

➟ 45 = 9k

➟ 45 / 9 = k

➟ 5 = k

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Verification :

➞ Perimeter = 2 ( Sum of Adjacent Sides )

➞ Perimeter = 2 ( 5k + 4k )

➞ Perimeter = 2 ( 5 × 5 + 4 × 5 )

➞ Perimeter = 2 ( 25 + 20 )

➞ Perimeter = 2 × 45

➞ 90 = 90

Hence Verified

________________

Therefore :

• First Side = 5k = 5 × 5 = 25cm
• Second Side = 4k = 4 × 5 = 20cm

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