The formula for the area of any regular polygon is the perimeter of the polygon multiplied by the apothem. In case you didn't know, the apothem is the perpendicular segment from the center of the polygon to a side. In this problem, it is asking for the area of a regular nonagon. By definition, a nonagon is a 9 sided polygon. Given that each side of the nonagon is 7 units long, we can multiply 7 by 9 to find the perimeter, which is 63. Now using the formula we can substitute the values of the perimeter and apothem into the equation.
Area = perimeter x apothem
Area = 63 x 5
Area = 315 units squared
