The area of a regular polygon is found by multiplying 1/2 times the apothem times the perimeter. The area for a single triangle is 1/2 times the height (which is the same as the apothem of a regular polygon) times the base (which is one of the sides of the regular polygon which you are multiplying by to find the perimeter of the polygon).
The area of a regular heptagon can be found by breaking the heptagon into seven congruent triangles and then taking the sum of their areas.
This is true.
Breaking down in 7 triangles and adding separately the areas of these triangles, will give the complete area of the heptagon. We can also find the area of one triangle and multiply that by 7 to get the same result.
