Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side IJ. Round your answer to the...

Question

Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side IJ. Round your answer to the nearest tenth if necessary.

SnapAndSolve AI · Accepted Answer

Since the quadrilaterals are similar, the corresponding sides are proportional. The ratio of EF to IJ is the same as the ratio of GH to KL.

EF = 11, GH = 9.2, KL = 43.

Set up the proportion:
\( \frac{EF}{IJ} = \frac{GH}{KL} \)

\( \frac{11}{IJ} = \frac{9.2}{43} \)

Cross-multiply to solve for IJ:
\( 11 \times 43 = 9.2 \times IJ \)

\( 473 = 9.2 \times IJ \)

\( IJ = \frac{473}{9.2} \approx 51.4 \)

The measure of side IJ is approximately 51.4.

Answer