Question

5. Сторони паралелограма відносяться як 2:5 , а його периметр дорівнює 56 см. Знайдіть сторони паралелограма.

Answer 1

Ответ:

Объяснение:

Периметр = 2 ( а+б) = 56

тогда стороны а и б = 28 см

а = 2 х

б = 5 х

2 х +5 х = 28

7 х = 28

х = 4

2*4 = 8 см - одна сторона

5*4=20- вторая сторона

Answer 2

в параллелограмме противоположные стороны равны между собой ,а сумма всех длин сторон равен периметру .

1)2 *(2+5)=2* 7=14 (ч)-всего разделен периметр

2)56:14=4(см )-одна часть периметра

3)2*4=8(см )- одна из сторон

4)5*4=20(см )- смежная сторона

Answer 3

Finding the Sides of a Parallelogram

To find the sides of a parallelogram when the ratio of the sides is given and the perimeter is known, we can follow these steps:

1. Let's assume the shorter side of the parallelogram is represented by 2x and the longer side is represented by 5x. 2. The perimeter of a parallelogram is the sum of all its sides. In this case, the perimeter is given as 56 cm. 3. We can set up an equation to find the value of x: - 2x + 2(5x) = 56 - Simplifying the equation, we get: 2x + 10x = 56 - Combining like terms, we have: 12x = 56 - Dividing both sides by 12, we find: x = 4.67 4. Now that we have the value of x, we can find the lengths of the sides: - The shorter side is 2x, so it is 2 * 4.67 = 9.34 cm. - The longer side is 5x, so it is 5 * 4.67 = 23.35 cm.

Therefore, the sides of the parallelogram are approximately 9.34 cm and 23.35 cm.