The parallelogram perimeter is 32 cm, one of its sides is 6 cm larger than the other. Find the larger side of the parallelogram.
March 26, 2021 | education
| 1. Let’s denote the smaller side of the parallelogram through x cm.
2. Determine the large side of the parallelogram:
(x + 6) cm.
3. Let’s compose and solve the equation:
(x + (x + 6)) * 2 = 32;
(x + x + 6) * 2 = 32;
(2x + 6) * 2 = 32;
4x + 12 = 32;
4x = 32 – 12;
4x = 20;
x = 20: 4;
x = 5.
4. The length of the shorter side of the parallelogram is x = 5 cm.
5. What is the longest side of the parallelogram?
x + 6 = 5 + 6 = 11 (cm).
Answer: The large side of the parallelogram is 11 cm.
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