Find the sides of a quadrilateral if its perimeter is 16cm, and one side is larger than each

Find the sides of a quadrilateral if its perimeter is 16cm, and one side is larger than each of the others by 6mm, 8mm and 10mm, respectively.

AВСK quadrangle,
BC = AC + 6 millimeters,
CК = AC + 8 millimeters,
AK = AC + 10 millimeters,
R avsk = 16 centimeters = 160 millimeters.
Find the lengths of the sides of a quadrilateral: AB, BC, СK, AK -?
Decision:
Let the AC side be x millimeters, the BC side length equal to (x + 6) millimeters, the SC side equal to (x + 8) millimeters, the AK side length equal to (x + 10) millimeters. We know that the perimeter of the ABCK quadrilateral is 160 millimeters.
x + x + 6 + x + 8 + x + 10 = 160;
4 * x + 24 = 160;
4 * x = 160 – 24;
4 * x = 136;
x = 136: 4;
x = 34 centimeters – the length of the speaker side;
34 + 6 = 40 centimeters – BC side length;
34 + 8 = 42 centimeters – the length of the CК side;
34 + 10 = 44 centimeters – the length of the AK side.
Answer: 34 centimeters; 40 centimeters; 42 centimeters; 44 centimeters.