The perimeter of the parallelogram is 54 cm. One side of the parallelogram
| June 15, 2021 | education
The perimeter of the parallelogram is 54 cm. One side of the parallelogram is 1 cm larger than the other. Find the smaller side of the parallelogram.
1. A, B, C, D – the tops of the parallelogram. P is the perimeter.
2. According to the condition of the problem, AD is more than AB by 1 centimeter. AD = AB + 1.
3. To calculate the lengths of the sides of a parallelogram, we use the formula for calculating its perimeter:
P = 2AD + 2AB = 54 centimeters.
AD + AB = 27 centimeters. Substitute here (AB + 1) instead of AD:
AB + 1 + AB = 27 centimeters.
2AB = 26 centimeters.
AB = 13 centimeters.
AD = 13 + 1 = 14 centimeters.
Answer: The smaller side of the parallelogram is 13 centimeters.
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