The perimeter of the rectangle is 36 m, and one of its sides is 6 m. What is the area of the rectangle?

Given the perimeter of a rectangle and one of its sides. We know that the perimeter of the rectangle is P = 2 * (a + b). We have P = 36 and a = 6, from the formula we find b.

36 = 2 * (6 + b);

36: 2 = 6 + b;

18 = 6 + b;

b = 18 – 6;

b = 12.

Using the sides of the rectangle, we find the area of the rectangle, i.e. e. S = a * b.

S = 6 * 12 = 72.

Answer: S = 72.