Question

периметр параллелограмма равен 56 см. найдите все стороны если одна сторона больше чем другая на 6 см​

Answer 1

Одна сторона х

другая сторона х+6

Периметр= x+x+x+6+x+6= 4x+12

4x+12=56

4x=44

x=11

Одна сторона 11, вторая сторона 17

Answer 2

Perimeter of a Parallelogram

To find the lengths of the sides of a parallelogram when one side is 6 cm longer than the other and the perimeter is 56 cm, we can use the formula for the perimeter of a parallelogram.

The formula for the perimeter of a parallelogram is:

Perimeter = 2 * (Length + Width)

Let's assume that the shorter side of the parallelogram is represented by 'x' cm. Since one side is 6 cm longer than the other, the longer side can be represented as 'x + 6' cm.

According to the given information, the perimeter of the parallelogram is 56 cm. Substituting the values into the formula, we get:

56 = 2 * (x + (x + 6))

Simplifying the equation:

56 = 2 * (2x + 6)

56 = 4x + 12

4x = 56 - 12

4x = 44

x = 11

Now that we have found the value of 'x' as 11 cm, we can calculate the lengths of the sides of the parallelogram.

The shorter side is 'x' cm, which is 11 cm.

The longer side is 'x + 6' cm, which is 11 + 6 = 17 cm.

Therefore, the lengths of the sides of the parallelogram are 11 cm and 17 cm.