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 corresponding sides. Let's use the vertical sides. The scale - factor $s$ is given by the ratio of the lengths of corresponding sides of hexagon L and hexagon K. So, $s=\frac{5.4}{4.5}=1.2$.

Step2: Calculate the value of $j$

We know that $j$ corresponds to the side of length 2.75 in hexagon K. To find $j$, we multiply the length of the corresponding side in hexagon K by the scale - factor. So, $j = 2.75\times1.2=3.3$.

Answer:

$3.3$