Question

Периметр четырёхугольника равен 32 см. Каждая из трех его сторон-8 см. Найди длину четвертой стороны. Какую форму может иметь этот четырёхугольник? (решить с пояснениями)​

Answer 1

Ответ:

8 см

Объяснение:

Объяснение на фото.

Answer 2

Perimeter of the Quadrilateral

To find the length of the fourth side of the quadrilateral, we need to know the perimeter of the quadrilateral. The problem states that the perimeter is equal to 32 cm.

Length of Each Side

The problem also states that each of the three sides of the quadrilateral is 8 cm long.

Finding the Length of the Fourth Side

To find the length of the fourth side, we can subtract the sum of the lengths of the three known sides from the perimeter of the quadrilateral.

Let's calculate it step by step:

1. The perimeter of the quadrilateral is given as 32 cm. 2. The length of each of the three known sides is 8 cm. 3. The sum of the lengths of the three known sides is 8 cm + 8 cm + 8 cm = 24 cm. 4. Subtracting the sum of the lengths of the three known sides from the perimeter of the quadrilateral, we get: 32 cm - 24 cm = 8 cm.

Therefore, the length of the fourth side of the quadrilateral is 8 cm.

Shape of the Quadrilateral

Based on the information provided, we can determine the shape of the quadrilateral. Since all four sides of the quadrilateral have the same length, it is a special type of quadrilateral known as a rhombus.

A rhombus is a quadrilateral with all sides of equal length. It also has opposite sides that are parallel to each other. Additionally, the opposite angles of a rhombus are equal.

In summary, the quadrilateral in question is a rhombus with a perimeter of 32 cm and each side measuring 8 cm.