Question

периметр параллелограмма равен 36см,одна из сторон его равна 8см.найдите остальные стороны

Answer 1

в параллелограмме противоположные стороны попарно равны

пусть одна сторона  а  ;  другая b

периметр равен

Р=2a+2b

36см = 2*8см +2b

2b=20см

b=10см

 

Ответ  стороны  8 8 10 10

Answer 2

Finding the Perimeter of a Parallelogram

To find the lengths of the remaining sides of a parallelogram when the perimeter is 36 cm and one side is 8 cm, we can use the formula for the perimeter of a parallelogram.

The formula for the perimeter of a parallelogram is: Perimeter = 2 * (side1 + side2)

Let's substitute the given values into the formula:

Perimeter = 2 * (8 + side2) = 36 cm

To solve for side2, we can rearrange the equation:

2 * (8 + side2) = 36

Now, let's solve for side2:

2 * 8 + 2 * side2 = 36 16 + 2 * side2 = 36 2 * side2 = 36 - 16 2 * side2 = 20 side2 = 20 / 2 side2 = 10 cm

Therefore, the lengths of the remaining sides of the parallelogram are 10 cm each.

Verification of the Answer

Let's verify the answer using the formula for the area of a parallelogram.

The formula for the area of a parallelogram is: Area = base * height

In a parallelogram, the base is one of the sides, and the height is the perpendicular distance between the base and the opposite side.

Given that one side of the parallelogram is 8 cm and the height is not provided, we cannot directly calculate the area. However, we can use the fact that the area of a parallelogram is equal to the product of the base and the height to verify our answer.

If the lengths of the remaining sides are both 10 cm, then the base and the height are both 8 cm. Therefore, the area of the parallelogram would be:

Area = 8 cm * 8 cm = 64 cm^2

Since we don't have the area of the parallelogram provided, we cannot verify the answer using this method.

Conclusion

The lengths of the remaining sides of the parallelogram are both 10 cm. However, without additional information, we cannot verify the answer using the formula for the area of a parallelogram.