Question 1142365
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Since the ratio of perimeters is  {{{192/48}}} = 4 (the longer to the shorter),  the ratio of the corresponding side length is 4, too

(from similarity).


Hence, {{{8/x}}} = 4, where x is the length of the corresponding side of the shorter polygon.


From the last equation,  x = {{{8/4}}} = 2 inches.    <U>ANSWER</U>
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