The sides of the parallelogram are 1: 2 and its perimeter is 30 cm find the sides of the parallelogram.
| January 29, 2021 | education
1. Vertices of the parallelogram – A, B, C, D. Perimeter (P) = 30 centimeters. AВ / AD = 1/2.
2. By the condition of the problem AВ / AD = 1/2. Therefore, AD = 2AB.
3. P = 2 (AB + AD) = 30 centimeters.
AB + AD= 15 centimeters.
4. Substitute in this expression 2AB instead of AD:
AB + 2AB = 15 centimeters.
3AB = 15 centimeters.
AB = 5 centimeters.
BP = 5 x 2 = 10 centimeters.
Answer: AB = СD = 5 centimeters. BC = AD = 10 centimeters.
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