Question

quadrilateral fghi is similar to quadrilateral jklm. find the measure of side kl. round your answer to the nearest tenth if necessary.
i
49
h
25.5
f
g
m
24
l
j
k

Explanation:

Step1: Identify corresponding sides

Since quadrilateral FGHI ~ J K L M, corresponding sides are proportional. Side IF (49) corresponds to side JM (24), and side GH (25.5) corresponds to side KL (let's call it \( x \)).

Step2: Set up proportion

\( \frac{IF}{JM} = \frac{GH}{KL} \) → \( \frac{49}{24} = \frac{25.5}{x} \)

Step3: Solve for \( x \)

Cross - multiply: \( 49x = 24\times25.5 \)
Calculate \( 24\times25.5 = 612 \)
Then \( x=\frac{612}{49}\approx12.5 \)

Answer:

\( 12.5 \)