Question

Найдите стороны паралелаграма АВСД если его периметр равен 54 см, а сторона АВ больше стороны ВС в 2 раза

Answer 1

Пусть сторона вс=х см, тогда ав = 2х см
Р=54см
составляем уравнение
54=6х
х=9-одна сторона
9*2=18- другая сторона

Answer 2

Problem Analysis

We are given a parallelogram ABCD with a perimeter of 54 cm, and the length of side AB is twice the length of side BC. We need to find the lengths of the sides of the parallelogram.

Solution

Let's denote the length of side BC as x. According to the problem statement, the length of side AB is twice the length of side BC, so AB = 2x.

The perimeter of a parallelogram is the sum of the lengths of all its sides. In this case, the perimeter is given as 54 cm. So we can write the equation:

Perimeter = AB + BC + CD + DA

Substituting the values we know:

54 = 2x + x + CD + DA

Since opposite sides of a parallelogram are equal in length, we can conclude that CD = AB = 2x and DA = BC = x.

Now we can rewrite the equation:

54 = 2x + x + 2x + x

Simplifying the equation:

54 = 6x

To find the value of x, we can divide both sides of the equation by 6:

x = 54 / 6 = 9

Therefore, the length of side BC is 9 cm, and the length of side AB is twice that, which is 18 cm.

Answer

The lengths of the sides of the parallelogram ABCD are: - AB = 18 cm - BC = 9 cm - CD = 18 cm - DA = 9 cm

Please let me know if you need any further assistance.