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136 in^2 <<<< Answer
Step One
Start with the outside dimensions of the frame. Calculate the area enclosed by that out side edge. The dimensions are 16in by 22in. This area includes the picture.

Area = L * W
Area = 22 * 16
Area = 352

Step Two
Calculate the area covered by the picture. It's dimensions are 12 in by 18 in

Area = L * W
Area = 12 * 18
Area = 216

Step Three
Calculate the frame's area.
Area of the frame = Area enclosed by the outer edge of the frame - picture's area.
Area of the frame = 352 in^2 - 216 in^2
Area of the frame = 136 in^2