The two sides of the parallelogram are 1: 2, and the perimeter is 60. Find the larger side of the parallelogram.

It is known from the condition that the two sides of the parallelogram are related as 1: 2, and its perimeter is 60. In order to find the larger side of the parallelogram, we compose and solve the equation.

Let’s enter the coefficient of similarity k, then the length of the first side can be written as 1k, and the length of the second side as 2k.

We look for the perimeter of the parallelogram using the same formula as the perimeter of the rectangle:

P = 2 (a + b);

Substitute and solve the equation:

2 (k + 2k) = 60;

3k = 30;

k = 10.

So, the lengths of the sides of the parallelogram are 10 and 2 * 10 = 20.