The perimeter of the parallelogram is 45 dm. Find the lengths of its adjacent sides if it is known

The perimeter of the parallelogram is 45 dm. Find the lengths of its adjacent sides if it is known that one of them is 1.5 times shorter than the other.

Let us denote by x (in decimeters) the length of the short side of the parallelogram. Then, according to the conditions of the task, the length of the adjacent side will be equal to 1.5 * x.
Since the perimeter of the parallelogram is 45 dm, then summing up all the sides of this parallelogram, we get 2 * (x + 1.5 * x) = 45 or 2 * 2.5 * x = 45, whence 5 * x = 45. Therefore, x = 45: 5 = 9.
This means that the length of one side is 9 dm. Now let’s determine the length of the adjacent side. The length of the adjacent side is 1.5 * 9 dm = 13.5 dm.
Answer: 9 dm and 13.5 dm.