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Two sides of a parallelogram are in the ratio 5 : 3. If its perimeter is 64 cm, find the lengths of its sides.

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Two sides of a parallelogram are in the ratio 5 : 3. If its perimeter is 64 cm, find the lengths of its sides.

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Let x be the common multiple. 

According to question, sides will be 5x and 3x.

Perimeter = \(2(l+w)\)

64 = 2 (5x + 3x) 

64 = 16x 

x = 4 

5x = 20 cm 

3x = 12 cm 

So, sides will be 20 cm and 12 cm.

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