Find the sides of the ABSD parallelogram if its perimeter is 48 cm, and the AB side is 10 cm larger than the BC.
| September 1, 2021 | education
1. R -perimeter.
2.AB = BC + 10.
3. Considering that the sides of a parallelogram located opposite each other (opposite) are equal, its perimeter is calculated by the formula:
P = 2 (AB + BC) = 48 centimeters.
AB + BC = 24 centimeters.
4. Substitute in this expression (BC + 10) instead of AB:
2BC + 10 = 24 centimeters.
BC = 7 centimeters.
AB = 7 + 10 = 17 centimeters.
Answer: AD = BC = 7 centimeters. AB = CD = 17 centimeters.
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