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Question

The perimeter of a parallelogram is 170 cm. One of its sides is greater than the other by 15 cm. What is the length of the larger side of the parallelogram (in cm)?
  1. 50

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Solution

The correct option is A 50
Let one side of a parallelogram =x cm The other side of the parallelogram =(x+15) cm

We know that the opposite sides of a parallelogram are equal.

Hence, the remaining two sides are of lengths x cm and (x+15) cm.

Perimeter of the parallelogram=x cm+(x+15) cm+x cm+(x+15) cm=1704x+30=170x=35 cmx+15=50 cmThe length of the larger side =50 cm

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