Question

what is the value of j? hexagon k hexagon l is a scaled copy of hexagon k

Explanation:

Step1: Find the scale factor

Since Hexagon L is a scaled copy of Hexagon K, the ratio of corresponding sides is constant. The ratio of the sides \(4.5\) and \(5.4\) gives the scale factor.
The scale factor \(s=\frac{5.4}{4.5} = 1.2\)

Step2: Calculate the value of \(j\)

We know that \(j\) corresponds to \(2.75\) in Hexagon K. Using the scale factor \(s = 1.2\), we have \(j=2.75\times s\)
Substitute \(s = 1.2\) into the equation: \(j=2.75\times1.2\)

$$j = 3.3$$

Answer:

\(3.3\)