Find the area of a triangle if its perimeter is 22, and the radius of the inscribed circle is 2.

The radius of a circle inscribed in a triangle can be expressed in terms of the area and semiperimeter of this triangle:
r = S / p,
where r is the radius of the inscribed circle, S is the area of the triangle, p is the semi-perimeter of the triangle.
Find the semiperimeter of the triangle given by the condition:
p = P / 2 = 22/2 = 11.
Substitute the known values into the formula for the radius of the inscribed circle:
2 = S / 11;
S = 2 * 11 = 22 (conventional square units).
Answer: S = 22 conventional square units.