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in Parallelograms by (30.3k points)
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The perimeter of a parallelogram is 140 cm. If one of the sides is longer than the other by 10 cm, find the length of each of its sides.

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Best answer

Let x be the common multiple. 

According to question, sides will be x and (x + 10).

Perimeter = \(2(l+w)\)

140 = 2 (x + (x + 10)) 

140 = 2 (2x + 10) 

140 = 4x + 20 

4x = 120 

x = 30 cm 

x + 10 = 40 cm 

So, sides will be 30 cm and 40 cm.

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