The perimeter of a parallelogram is 24m, find its sides if it is known that one of them is 3 times longer than the other.

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

Let’s start by considering the condition of the problem. It is known that the perimeter of a given parallelogram is 24 meters. It is also known that one of the sides of a parallelogram is 3 times longer than the other.

Let’s denote the length of one of the sides using the variable x, then the length of the second side can be written as 3x meters.

Parallelogram perimeter:

P = 2 (a + b);

2 (x + 3x) = 24;

x + 3x = 24: 2;

4x = 12;

x = 12: 4;

x = 3 meters the smaller side and 3 * 3 = 9 meters the length of the second side.