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Question

The perimeter of a parallelogram is 92 cm. If one side is greater than its adjacent side by 10 cm, find its sides.

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Solution

We know that in parallelogram opposite sides are equal.

Let shorter side of parallelogram be a

Then, greater side will be a+10

Perimeter of parallelogram =2[(a)+(a+10)]

92=2[2a+10]

92=4a+20

4a=72

a=724=18cm

Greater side =18+10=28cm

The sides of parallelogram are 18cm and 28cm.

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