Wonderful! If you had told us something about polygon efgh, and mentioned some small
tidbit of information regarding the ratio of similarity, we might have had a fighting chance.
The question is a lot like asking: "Bob is older than Jim. How old is Bob ?"
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It is k times the perimeter of EFGH where k is the constant ratio of the sides of ABCD to the corresponding sides of EFGH.
It is k times the perimeter of abcd where k is the constant ratio of the sides of efgh to the corresponding sides of abcd.
It is k times the perimeter of eh where k is the constant ratio of the sides of abcd to the corresponding sides of efgh.
It is k times the perimeter of efgh, where k is the constant of proportionality between the sides of abcd and the corresponding sides of efgh.
The question cannot be answered without information about the relative sizes of the two polygons.