Given a rectangle ABCD, side AB = 6 cm, it is also known that P = 32. Find the side of BC.

Let us denote the length of the BC side through x cm.

As you know, the perimeter of the rectangle ABCD is calculated by the formula P = (AB + BC) * 2, we compose and solve the equation:

(x + 6) * 2 = 32;

x + 6 = 32: 2;

x + 6 = 16;

x = 16 – 6;

x = 10.

The BC side length is x = 10 cm.

Answer: the length of the BC side is 10 cm.