Find the sides of the parallelogram ABCD if its perimeter is 21 cm, and AB: BC = 2: 3.
| September 8, 2021 | education
1. P is the perimeter of the parallelogram.
2. AB / BC = 2/3. AB = 2BC / 3.
3.Considering that the sides of the parallelogram opposite each other are equal,
the perimeter (P) of this geometric figure is calculated by the formula:
P = 2 (AB + BC) = 21 centimeters.
AB + BC = 10.5 centimeters. We replace AB in this expression with 2BC / 3:
2BC / 3 + BC = 10.5 centimeters.
5BC / 3 = 10.5 centimeters.
BC = 2.1 x 3 = 6.3 centimeters.
AB = 2BC / 3 = 2 X 6.3 / 3 = 4.2 centimeters.
Answer: AB = SD = 4.2 centimeters, BC = HELL = 6.3 centimeters.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
