One side of the paralelogram is 2 times smaller from the other side, and its perimeter is 30 dm.

One side of the paralelogram is 2 times smaller from the other side, and its perimeter is 30 dm. Find the sides of the parallelogram.

A parallelogram is a quadrilateral in which opposite sides are parallel and equal to each other, and opposite angles are also equal:

AB = CD;

BC = AD.

The perimeter of a parallelogram is equal to the sum of the lengths of its sides:

P = AB + BC + CD + AD.

Since the AB side is two times smaller than the BC side, and the perimeter is 30 dm, we express it as follows:

x is the length of the side AB and CD;

2x – side length ВС and АD;

x + 2x + x + 2x = 30;

6x = 30;

x = 30/6 = 5;

AB = CD = 5 cm;

ВС = АD = 2,5 = 10 cm.

Answer: sides AB and CD are 5 cm, sides BC and AD are 10 cm.