Question

Реши задачу, В параллелограмме сторона и диагональ перпендикулярны друг другу. Найди площадь параллелограмма, если известно, что диагональ параллелограмма равна 4, 4 см, а сторона в 1,5 раза больше диагонали. Запиши ответ в виде десятичной дроби, если у тебя получилось дробное число. Ответ: CM

Answer 1

Ответ:

29,04 см2

Объяснение:

S=a*h

сторона. 1,5*4,4=6,6

S=6,6*4,4=29,04

Answer 2

Task: Finding the area of a parallelogram

To find the area of a parallelogram, we need to know the length of one side and the length of a diagonal. In this case, we are given that the diagonal of the parallelogram is 4.4 cm, and the side is 1.5 times longer than the diagonal.

Let's solve the problem step by step:

1. Let's assume the length of the diagonal is d and the length of the side is s. 2. We are given that d = 4.4 cm. 3. According to the problem, the side is 1.5 times longer than the diagonal, so s = 1.5d.

Now, we can calculate the area of the parallelogram using the formula:

Area = base × height

In a parallelogram, any side can be considered as the base, and the corresponding perpendicular distance is the height. Since the side and diagonal are perpendicular to each other, we can use the side as the base and the diagonal as the height.

4. The base of the parallelogram is s = 1.5d. 5. The height of the parallelogram is d.

Now, we can substitute the values into the formula to find the area:

Area = (1.5d) × d = 1.5d^2

6. Substituting the given value of d = 4.4 cm into the formula, we get:

Area = 1.5 × (4.4)^2

Let's calculate the area:

Area = 1.5 × (4.4)^2 = 1.5 × 19.36 = 29.04 cm^2

Therefore, the area of the parallelogram is 29.04 cm^2.

I hope this helps! Let me know if you have any further questions.