In a parallelogram, the difference between adjacent sides is 5cm, and its perimeter is 38cm.
| September 14, 2021 | education
In a parallelogram, the difference between adjacent sides is 5cm, and its perimeter is 38cm. what is the smaller side of the parallelogram?
1. A, B, C, D – the tops of the parallelogram. AB is less than BC by 5 centimeters.
2. Opposite sides of a parallelogram are equal (according to the parallelogram properties).
Therefore, AB = CD. AD = BC.
3. The perimeter of the parallelogram is calculated by the formula:
2AB + 2BC = 38 centimeters.
AB + BC = 19 centimeters.
4. BC = AB + 5 centimeters.
AB + AB + 5 cm = 19 centimeters.
2AB = 14 centimeters.
AB = 7 centimeters.
BC = 7 + 5 = 12 centimeters.
Answer: AB – the smaller side of the parallelogram is 7 centimeters.
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