Question

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

Explanation:

Step1: Find the scale factor

Since hexagon \(L\) is a scaled copy of hexagon \(K\), we can find the scale factor by comparing the corresponding sides. Let's use the non - \(j\) sides. The scale factor \(s=\frac{5.4}{4.5}\)

$$s = \frac{5.4}{4.5}=\frac{54}{45}=\frac{6}{5} = 1.2$$

Step2: Calculate the value of \(j\)

We know that \(j\) in hexagon \(L\) corresponds to the side of length \(2.75\) in hexagon \(K\). Using the scale factor \(s = 1.2\), we have \(j=2.75\times s\)

$$j=2.75\times1.2=\frac{275}{100}\times\frac{12}{10}=\frac{275\times12}{1000}=\frac{3300}{1000}=3.3$$

Answer:

\(3.3\)