Final answer:
The information provided is insufficient to determine the length of side JK in the similar quadrilaterals because specific measurements and a scale factor are required, which are not provided in the question.
Step-by-step explanation:
The question is asking us to determine the length of side JK in a pair of similar quadrilaterals, but the information given seems to be an error or unrelated to the question asked. In order to find the measure of side JK, we would need specific measurements from either Quadrilateral FGHI or Quadrilateral JKLM, and the ratio of similarity between the two quadrilaterals. Without this pertinent information, or a clear diagram showing the said quadrilaterals and their corresponding sides, it is not possible to accurately calculate the measure of side JK.
If the correct information was available, we would use the properties of similar polygons which state that corresponding sides are proportional. For example, if FGHI and JKLM are similar and we know the length of side FG and a scale factor between the two quadrilaterals, we could multiply FG by the scale factor to find JK.
The complete question is:Quadrilateral FGHI is similar to Quadrilateral JKLM. Find the measure of side JK. Round your answer to the nearest tenth is necessary.