The sides of the parallelogram are 1: 4, the perimeter is 40 dm. Find the sides of a parallelogram.

In order to find the sides of a parallelogram, we will compose and solve an equation.

But first of all, let’s consider the condition of the problem. We know that the sides of a parallelogram are 1: 4, and we also know that its perimeter is 40 dm.

Let’s enter the coefficient of similarity k and then the lengths of the sides of the parallelogram can be written as 1k and 4k.

Using the formula to find the perimeter of a parallelogram:

P = 2 (a + b);

2 (k + 4k) = 40;

5k = 40: 2;

5k = 20;

k = 20: 5;

k = 4.

Now we can find the lengths of the sides of the parallelogram 4 dm and 4 * 4 = 16 dm.