First we look for the area of the triangle which is given by: A = (1/2) * (4) * (6) A = 12 feet ^ 2 Area of the rectangles: Rectangle 1: R1 = (4) * (8) R1 = 32 feet ^ 2 Rectangle 2: R2 = (6) * (8) R2 = 48 feet ^ 2 Rectangle 3: R3 = (root (6 ^ 2 + 4 ^ 2)) * (8)) R3 = 57,68882041 feet ^ 2 The total area will be: A = 2A + R1 + R2 + R3 Substituting values: A = 2 * (12) + 32 + 48 + 57,68882041 A = 161.6888204 feet ^ 2 Answer: The total area of the prism is: A = 161.6888204 feet ^ 2
