The perimeter of a parallelogram is 24m, find its sides if it is known that one of them is 3 times

| June 24, 2021 | education

The perimeter of a parallelogram is 24m, find its sides if it is known that one of them is 3 times longer than the other without equations.

Since one of the sides of the parallelogram is 3 times longer than the other, then we take the smaller side as one part of the perimeter, then the larger side will include three such parts. Since both sides enter the parallelogram perimeter twice, the perimeter will consist of 1 + 1 + 3 + 3 = 8 identical parts. On the other hand, the perimeter of the parallelogram is known and it is equal to 24 m, which means that one part has 24: 8 = 3 (m) – this will be the smaller side. Since, by condition, the second side is 3 times longer, the larger side will be 3 • 3 = 9 (m).
Answer: 3 m is the smaller side, 9 m is the larger side.



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