[b]AREA OF A REGULAR POLYGON:[/b][br][br]The [color=#38761d][b]AREA OF A REGULAR POLYGON[/b][/color] is equal to (1/2)(apothem)(perimeter). [br][br]Note that the [b][color=#38761d]original regular pentagon [/color][/b]was transformed into a triangle whose [b]base = the perimeter of the regular pentagon [/b]and whose [b]height = the apothem.[/b] Since Area of a Triangle = (1/2)(Base)(height), the [color=#38761d][b]area of the regular pentagon originally displayed = [/b][/color][b](1/2)(apothem)(perimeter). [/b]