The document discusses calculating the areas of regular polygons. It states that the area of a regular polygon is equal to half the product of the apothem and perimeter. The apothem is the distance from the center of the polygon to the midpoint of one side, and can be calculated using trigonometric functions like tangent and cosine based on the central angle of the polygon. Formulas are provided for calculating the areas of regular pentagons and general regular n-gons.