The perimeter of the parallelogram is 46 cm. Find the sides of the parallelogram if the sum of its three sides is 32 cm.

The sides of the parallelogram are pairwise equal. (let’s say AB = CD, a BC = DA). Since the perimeter is 46 cm, and the sum of the three sides is 32 cm, then one of the sides is equal to: 46-32 = 14 cm. Consequently, the other side is also equal to 14 cm. It remains 32-14 = 18 cm on two equal sides. Dividing by 2, we get the length of the other side: 18: 2 = 9 cm.
Answer: two 9 cm and two 14 cm.



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