Given: ABCD-parallelogram P = 96 cm, one side is 3 times larger than the other Find all sides.
| September 25, 2021 | education
1. A, B, C, D – the tops of the parallelogram.
2. AD = 3AB.
3. The opposite sides of the rectangle are equal. With this in mind, its perimeter (P) is calculated using the following formula:
P = 2AD + 2AB = 96 cm.
AD + AB = 48 cm. Substitute 3AB here instead of AD:
3AB + AB = 48 cm.
4AB = 48 cm.
AB = 12 cm.
AD = 12 x 3 = 36 cm.
Answer: AD = BC = 36 cm, AB = CD = 12 cm.
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