Question

4. The ratio of adjacent sides of a parallelogram is as 2:3, and its perimeter is 60 cm.Find the sides of parallelogram.​

Answer 1

Question:-

The ratio of adjacent sides of a parallelogram is as 2:3, and its perimeter is 60 cm.Find the sides of parallelogram.

Answer:-

• The sides of parallelogram are 12 cm and 18 cm.

To find :-

• The sides of parallelogram

Solution:-

• Ratio = 2:3

Put x in the ratio,

• Length (l) = 2x
• Breadth (b) = 3x
• Perimeter = 60 cm

$\blue{ \boxed{ \mathfrak{ \huge{ \purple{ \underline{ \underline{ \pink{ perimeter = 2(l + b)}}}}}}}}$

$\large{ \tt : \implies \: \: \: \: \:2(2x + 3x) = 60}$

$\large{ \tt : \implies \: \: \: \: \:2x + 3x = \frac{60}{2} }$

$\large{ \tt : \implies \: \: \: \: \:5x = 30}$

$\large{ \tt : \implies \: \: \: \: \:x = \frac{30}{5} }$

$\large{ \tt : \implies \: \: \: \: \:x = 6}$

• The value of x is 6 cm

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• Length = 2x = 2×6 = 12 cm
• Breadth = 3x = 3×6 = 18 cm

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Answer 2

Answer :-

• The sides of the parallelogram are 24cm and 36cm respectively.

Given :-

• The ratio of adjacent sides of a parallelogram is as 2:3 and its perimeter is 60 cm.

To Find :-

• Sides of the parallelogram.

Solution :-

Put x in the ratio

Sides are

• 2x
• 3x

Here

• Perimeter of the parallelogram is 60cm.

As we know that

• Perimeter of a parallelogram is 2 (a + b)

According to question :-

⇒ 2 (2x + 3x) = 60

⇒ 2 × 5x = 60

⇒ 10x = 60

⇒ x = 60/10

⇒ x = 6

Now

• 2x = 2 × 12 = 24cm
• 3x = 3 × 12 = 36cm

Hence, the sides of the parallelogram are 24cm and 36cm respectively.