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To find the measure of side KL, we can set up a proportion using the corresponding sides of the similar quadrilaterals:
FG/ JK = HI/ LM
19/9 = 34/ KL
Cross multiplying, we get:
19KL = 306
Dividing by 19, we find:
KL = 16.1
Therefore, the measure of side KL is approximately 16.1.