The sides of a parallelogram are 3: 1, and its perimeter is 40 cm. Find the sides of the parallelogram.

In order to find the sides of the parallelogram, we will compose and solve equations. To compile it, we will use the formula for finding the perimeter of a parallelogram.

Let’s look at the condition of the problem. It says that the sides of the parallelogram are 3: 1, and its perimeter is 40 cm.

Let’s enter a coefficient of similarity k and write the lengths of the sides as 3k and 1k.

Let’s make the equation:

P = 2 (a + b);

2 (3k + k) = 40;

3k + k = 40: 2;

4k = 20;

k = 20: 4;

k = 5.

So, the sides are 3 * 5 = 15 cm and 1 * 5 = 5 cm.