Find the sides of a parallelogram if its perimeter is 30 cm and one side is 5 times larger than the other.
June 12, 2021 | education
| 1. Let’s denote the length of the shorter side of the parallelogram through x cm.
2. Determine the length of the longer side of the parallelogram:
5 * x = 5x cm.
3. Let’s compose and solve the equation:
(5x + x) * 2 = 30;
6x * 2 = 30;
12x = 30;
x = 30: 12;
x = 2.5.
4. The length of the shorter side of the parallelogram is x = 2.5 cm.
5. What is the length of the longer side of the parallelogram?
5 * x = 5 * 2.5 = 12.5 cm.
Answer: the sides of the parallelogram are 2.5 cm, 12.5 cm, 2.5 cm, 12.5 cm.
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