Question

Периметр параллелограмма 28 см. Одна из его сторон 8 см. Найти меньшую сторону параллелограмма

Answer 1

Р=28

стороны мы возьмём за значения а, в, с, д

Р=а+в+с+д

В параллелограмме параллельные стороны попарно равны т.е

а=в, с=д

значит

Р=а^2+в ^2 

28=8 ^2+в ^2

в ^2=8 ^2-28

в ^2=64-28

в ^2=36

в=6

Ответ:6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer 2

Perimeter of a Parallelogram

To find the perimeter of a parallelogram, we need to know the lengths of all its sides. However, in this case, we are given the perimeter of the parallelogram as 28 cm and one of its sides as 8 cm. We need to find the length of the smaller side of the parallelogram.

Let's denote the lengths of the sides of the parallelogram as follows: - Larger side: a - Smaller side: b

The formula for the perimeter of a parallelogram is: Perimeter = 2(a + b)

Given that the perimeter is 28 cm and one of the sides is 8 cm, we can set up the equation as follows: 28 = 2(a + 8)

To find the value of b, we need to solve this equation for a and substitute it back into the formula.

Solving for the Length of the Larger Side

Let's solve the equation for a: 28 = 2(a + 8)

First, we divide both sides of the equation by 2: 14 = a + 8

Next, we subtract 8 from both sides of the equation: 6 = a

So, the length of the larger side (a) is 6 cm.

Finding the Length of the Smaller Side

Now that we know the length of the larger side (a) is 6 cm, we can substitute this value back into the formula to find the length of the smaller side (b).

Using the formula for the perimeter of a parallelogram: Perimeter = 2(a + b)

Substituting the known values: 28 = 2(6 + b)

Simplifying the equation: 28 = 12 + 2b

Next, we subtract 12 from both sides of the equation: 16 = 2b

Finally, we divide both sides of the equation by 2: 8 = b

So, the length of the smaller side (b) is 8 cm.

Conclusion

Therefore, the length of the smaller side of the parallelogram is 8 cm.