The perimeter of a parallelogram is 98 cm, find its sides if its sides are 3: 4.

Let us denote the lengths of the sides of this parallelogram through x and y.

According to the condition of the problem, the perimeter of the parallelogram is 98 cm, therefore, the following relation holds:

2 * (x + y) = 98.

It is also known that the lengths of the sides of a given parallelogram are related as 3: 4, therefore, the following ratio takes place:

x = (3/4) * y.

Substituting this value x into the equation 2 * (x + y) = 98, we get:

2 * ((3/4) * y + y) = 98;

2 * (7/4) * y = 98;

(7/2) * y = 98;

y = 98 / (7/2);

y = 28 cm.

Find x:

x = (3/4) * y = (3/4) * 28 = 21 cm.

Answer: the lengths of the sides of this parallelogram are 21 cm and 28 cm.