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To find the length of the frame, we can use proportions.
Since the original diploma is 11 in long and 8 in wide, we can set up the proportion:
(Length of frame)/(Width of frame) = (Length of diploma)/(Width of diploma)
Let x be the length of the frame. So the proportion becomes:
x/12 = 11/8
Cross multiply to solve for x:
8x = 11 * 12
8x = 132
x = 16.5
Therefore, the length of the frame should be 16.5 inches.