Question

the polygons below are similar. find the value of x. image is not to scale.

Explanation:

Step1: Determine the scale factor

Since the polygons are similar, the ratios of corresponding sides are equal. Let's take the sides \( AE = 84 \) and \( FJ = 42 \). The scale factor from the smaller polygon to the larger one is \( \frac{84}{42}=2 \).

Step2: Find the value of \( x \)

The corresponding side to \( x \) in the smaller polygon is \( IJ = 24 \). Using the scale factor, we multiply the length of \( IJ \) by the scale factor to get \( x \). So, \( x = 24\times2 = 48 \).

Answer:

\( x = 48 \)