A stop sign is in the shape of a regular octagon. Each side measures 12.4 inches and the apothem of the octagon measures 15 inches. What is the area of the stop sign?

Respuesta :

The 8 sides of the regular octagon are all the same length, so the perimeter of it is 8*(12.4 in) = 99.2 in.

The area of a regular polygon is half the product of the perimeter and the apothem.
  area = (1/2)(99.2 in)(15 in) = 744 in²

The area of the stop sign is 744 in².
744 square inches octagon area