Question

hexagon k is a scaled copy of hexagon j.
hexagon j has a top side length of 8, and two side lengths of 12. hexagon k has a top side length of 20, and two side lengths of 30.
what scale factor takes hexagon j to hexagon k?

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{Length of corresponding side in scaled copy}}{\text{Length of corresponding side in original}}\)

Step2: Identify corresponding sides

Corresponding sides: \(12\) (Hexagon \(J\)) and \(30\) (Hexagon \(K\))

Step3: Calculate the scale factor

Scale factor \(=\frac{30}{12}=\frac{5}{2} = 2.5\)

Answer:

\(2.5\)