The perimeter of the parallelogram is 299.2 decimetres, one side is 20% longer than the other.

The perimeter of the parallelogram is 299.2 decimetres, one side is 20% longer than the other. Calculate all sides of the parallelogram.

It is known from the condition that the perimeter of the parallelogram is 299.2 decimeters. It is also known that one side is 20% longer than the other. In order to calculate all the sides of a parallelogram, we compose and solve a linear equation with one variable.

Let’s denote by x the length of one of the sides of the parallelogram, then the other side (x + 0.2x) = 1.2x.

Let’s remember the formula for finding the perimeter:

P = 2 (a + b);

2 (x + 1.2x) = 299.2;

x + 1.2x = 299.2: 2;

2.2x = 149.6;

x = 149.6: 2.2;

x = 68 dm one of the sides of the parallelogram, then 68 * 1.2 = 81.6 dm the length of the second.