Question

quadrilateral efgh is similar to quadrilateral ijkl. find the measure of side ij. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up proportion for similar figures

Since quadrilaterals EFGH and IJKL are similar, the ratios of corresponding sides are equal. Let \( IJ = x \). Then \(\frac{EF}{IJ}=\frac{HE}{LI}\).
Substitute the known values: \(\frac{30}{x}=\frac{59}{25}\).

Step2: Solve for \( x \)

Cross - multiply: \( 59x = 30\times25 \).
Calculate \( 30\times25 = 750 \), so \( 59x = 750 \).
Then \( x=\frac{750}{59}\approx12.7 \).

Answer:

\( 12.7 \)