The area of a regular octagon is given by: A = (4) * (L) * (ap) Where, L: side ap: apotema Substituting values we have: A = (4) * (19) * (16) A = 1216 square inches Answer: The area of a regular octagon with an apothem 16 inches long and a side 19 inches long is: A = 1216 square inches