Question

The ratio of the breadth of a parallelogram to its length is 2:3. If its perimeter is 120cm, find dimensions of a parallelogram.​

Answer 1

Answer:

$let \: the \: length \: and \: breadth \: be \: 3x \: and \: 2x \\ perimeter \: = 2(length \: + breadth) \\ 120 = 2(2x + 3x) \\ 120 = 2 \times 5x \\ 120 = 10x \\ x = \frac{120}{10} \\ x = 12 \\ \\ \\ \\ \\ \\ length \: = \: 2 \times 12 = 24 \: c m \\ breadth \: = 3 \times 12 = 36 \: cm$

Step-by-step explanation:

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Answer 2

Answer:

In parallelogram :

Given :

• breadth : length = 2 : 3
• Let ratio constant be x
• Length = 3x
• Breadth = 2x
• Perimeter of parallelogram = 120 cm

Solution :

• Perimeter = 2 length + 2 breadth
• 120 = 2 ( l + b )
• 120 = 2 ( 2x + 3x )
• 120 = 2 ( 5x )
• 120 = 10x
• x = 120/10
• x = 12

Length = 3x = 3(12) = 36 cm

Breadth = 2x = 2(12) = 24 cm