Determine the perimeter of a regular octagon that has a distance from its center to any of its vertices of 10 inches. Round your answer to the nearest tenth of an inch.

Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?