The perimeter of the parallelogram is 40 in. Side AB refers to side BC as 3 to 2 Find all sides of the parallelogram.

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

But first of all, let’s start by looking at the condition of the problem. It says that the perimeter of the parallelogram is 40 inches. And also the ratio of the sides of the parallelogram is 3: 2.

Let’s introduce the coefficient of similarity k and use it to write down the lengths of the sides 3k and 2k.

Let’s remember and apply the formula for finding the perimeter:

P = 2 (a + b);

2 (3k + 2k) = 40;

3k + 2k = 40: 2;

5k = 20;

k = 20: 5;

k = 4.

So, the sides are 3 * 4 = 12 dm and 4 * 2 = 8 dm.