Final answer:
The area of the triangle is 3.89 cm^2.
Step-by-step explanation:
To find the area of a triangle, we can use the formula: Area = 1/2 * base * height.
Given that the two interior angles are 58 degrees and 84 degrees, we can determine the third angle by subtracting the sum of the other two angles from 180 degrees:
180 - (58 + 84) = 38 degrees.
Since the included side is 22 cm as given, we can use the formula to calculate the area:
1/2 * 22 cm * sin(38 degrees) = 0.177 * 22 cm
= 3.89 cm^2.