Area of Polygons Review

The sides are in the ratio $$x, x\sqrt{3}, 2x$$ .

A regular polygon is a polygon that is equiangular (all angles are equal) and equilateral (all sides have the same length).

The area is doubled.

The area is 433.2 m².

The sides are in the ratio $$x, x, x\sqrt{2}$$ .

The apothem is the distance from the center of a regular polygon to the midpoint of one of its sides.

The area of a triangle is given by $$\frac{1}{2} \times base \times height$$ .

The area can be calculated using the formula: $$\frac{1}{2} \times perimeter \times apothem$$ .

If the base increases, the height must decrease to keep the area constant, and vice versa.

The sum of the interior angles is given by $$(n-2) \times 180^\circ$$ .