Question

Соооооооооссссссссссс Одна сторона параллелограмма в 7 раз длиннее другой. Вычислите стороны параллелограмма, если его периметр равен 128 см. Кратчайшее ребро параллелограмма равно см Самое длинное ребро параллелограмма равно см

Answer 1

Ответ:

8 56

Пошаговое объяснение:

Пусть х, 7х, х, 7х - стороны параллелограмма (в см).

х + 7х + х + 7х = 128

16х = 128

х = 128:16 = 8

7х = 56

8 и 56

Answer 2

Understanding the problem

Let's break down the problem to understand it better. We are given that one side of a parallelogram is 7 times longer than the other side. The perimeter of the parallelogram is given as 128 cm. We are also given the length of the shortest side and the length of the longest side.

Finding the lengths of the sides

Let's denote the length of the shorter side as x. According to the problem, the longer side is 7 times longer than the shorter side, so its length would be 7x.

The perimeter of a parallelogram is calculated by adding the lengths of all four sides. In this case, we have two sides of length x and two sides of length 7x. Therefore, we can set up the equation:

2x + 2(7x) = 128

Now, let's solve this equation to find the value of x.

Solving the equation

Expanding the equation:

2x + 14x = 128

Combining like terms:

16x = 128

Dividing both sides by 16:

x = 8

Now, we know that the length of the shorter side (x) is 8 cm. To find the length of the longer side, we multiply this by 7:

7x = 7 * 8 = 56

Therefore, the length of the shorter side is 8 cm and the length of the longer side is 56 cm.

Summary

The lengths of the sides of the parallelogram are as follows: - The length of the shorter side is 8 cm. - The length of the longer side is 56 cm.