# The perimeter of the quadrilateral is -104 cm, the length of the first side is 12 cm longer than the third side, which is 10 cm

**The perimeter of the quadrilateral is -104 cm, the length of the first side is 12 cm longer than the third side, which is 10 cm longer than the length of the first side, and the length of the sides of the quadrilateral.**

Let’s denote the length of 1 side as x + 12. We know that the first side is 12 cm larger than the third side, which means that the third side is equal to x. The second side is x + 22. The length of the fourth side is x – 10. Let’s compose the equations to solve this problem. The perimeter is the sum of the lengths of all sides.

x + 12 + x + x + 22 + x – 10 = 104 cm;

Let’s sort this equation by performing the possible actions.

4x + 24 = 104;

Let’s transfer the known numbers to the other side:

4x = 80;

x = 20.

So 1 side is 32, 2 side is 42, 3 side is 20, 4 side is 10.

Answer: 32, 42, 20, 10.