Question

Периметр параллелограмма равен 190см. Найти его стороны если известно, что одна сторона меньше другой на 50см. ПОМОГИТЕ ПОЖАЛУЙСТА РЕШИТЬ!

Answer 1

противоположные стороны параллелограмма попарно равны

пусть одна сторона -   Х

тогда смежнач сторона -   Х-50

Периметр параллелограмма равен 190см

Х+Х+(Х-50)+(Х-50) = 190

4Х -100 =190

4Х=290

Х=72,5 см

Х-50=22.5 см

ОТВЕТ  2 стороны по 72,5 см ; 2 стороны по 22,5 см

Answer 2

Perimeter of a Parallelogram

To find the sides of a parallelogram when the perimeter is known and one side is smaller than the other by 50 cm, we can use the following steps:

1. Let's assume that the smaller side of the parallelogram is represented by x cm. 2. According to the given information, the other side is larger by 50 cm, so the larger side can be represented as x + 50 cm. 3. The perimeter of a parallelogram is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 190 cm. 4. The formula for the perimeter of a parallelogram is: Perimeter = 2 * (Length + Width). 5. Since a parallelogram has opposite sides of equal length, we can say that the length of the parallelogram is x cm and the width is x + 50 cm. 6. Using the formula for the perimeter, we can write the equation: 190 = 2 * (x + x + 50). 7. Simplifying the equation, we get: 190 = 2 * (2x + 50). 8. Further simplifying, we have: 190 = 4x + 100. 9. Subtracting 100 from both sides, we get: 90 = 4x. 10. Dividing both sides by 4, we find: x = 22.5.

Therefore, the smaller side of the parallelogram is 22.5 cm, and the larger side is 22.5 + 50 = 72.5 cm.

Answer: The smaller side of the parallelogram is 22.5 cm, and the larger side is 72.5 cm.

Please note that the sources provided did not contain specific information related to this question. The solution was derived using mathematical principles and formulas for finding the perimeter of a parallelogram.