The perimeter of a parallelogram is $40$ cm. If one side is $12$ cm, the adjacent side is:

The perimeter of a parallelogram is $40$ cm. If one side is $12$ cm, the adjacent side is:
  1. $6$ cm
  2. $8$ cm
  3. $14$ cm
  4. $28$ cm

Solution

Perimeter $= 2(\text{sum of two adjacent sides}) = 40$, so sum $= 20$. Adjacent side $= 20 - 12 = 8$ cm.

Asked in: IMO

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