Question

Смежные стороны паралелограма относится как 3:4 а перемитр его равен 49 см . Определите стороны паралелограма

Answer 1

Периметр параллелограмма равен

P=2(a+b)

Пояснения: Да, это формула периметра прямоугольника, НО прямоугольник - это параллелограмм, у которого все углы прямые, поэтому по этой формуле, можно вычислить периметр параллелограмма.

Пусть на одну часть приходится х см, тогда a=3x, b=4x

49=2(3x+4x)

7x=49/2=24,5

x=24,5/7 =3,5

Значит на одну часть приходится 3,5 см, тогда a=3*3,5=10,5 см, b=4*3,5=14см.

Ответ: 10,5 и 14 см

Answer 2

Finding the Sides of a Parallelogram

To find the sides of a parallelogram when the ratio of the adjacent sides is given and the perimeter is known, we can use the following steps:

1. Understand the Given Information: - The ratio of the adjacent sides of the parallelogram is 3:4. - The perimeter of the parallelogram is 49 cm.

2. Calculate the Sides: - Let's assume the common multiple of the ratio is x. - The sides of the parallelogram can be expressed as 3x and 4x, as the ratio of the adjacent sides is 3:4.

3. Use the Perimeter to Find x: - The perimeter of a parallelogram is the sum of all its sides. - So, we can form an equation: 2(3x + 4x) = 49 cm. - Solving this equation will give us the value of x.

4. Calculate the Sides: - Once we have the value of x, we can find the lengths of the sides by multiplying it with the corresponding ratio.

Calculation

Using the given information, we can calculate the sides of the parallelogram.

The equation 2(3x + 4x) = 49 cm simplifies to 14x = 49 cm, which gives x = 49/14 = 3.5 cm.

Therefore, the sides of the parallelogram are: - One side: 3x = 3 * 3.5 = 10.5 cm - Adjacent side: 4x = 4 * 3.5 = 14 cm

So, the sides of the parallelogram are 10.5 cm and 14 cm.

This calculation is based on the given information and the principles of finding the sides of a parallelogram when the ratio of the adjacent sides and the perimeter are known.