We can find the measure of side HI by setting up a proportion based on the similarity of the quadrilaterals. The measure of side HI is 17.3 centimeters
Corresponding sides of similar shapes are proportional, so we can write the following proportion:
HI/DE = JK/FG
From the diagram, we can see that:
DE = 13 cm
FG = 29 cm
JK = 41 cm
We need to solve for HI. Substituting the known values into the proportion, we get:
HI/13 = 41/29
Cross-multiplying, we get:
HI * 29 = 13 * 41
Simplifying, we get:
HI ≈ 17.3
Therefore, the measure of side HI is approximately 17.3 cm. Rounding to the nearest tenth, the answer is 17.3 cm.
So the answer to the question is: "The measure of side HI is 17.3 centimeters."