Given:
The pentagons ABCDE and JKLMN are similar.
To find:
The length x of MN.
Explanation:
Since the given pentagons are similair.
So, the corresponding sides are proportional.
Therefore, we write
[tex]\begin{gathered} \frac{CD}{LM}=\frac{DE}{MN} \\ \frac{2}{2.8}=\frac{3}{x} \\ x=3\times\frac{2.8}{2} \\ x=3\times1.4 \\ x=4.2 \end{gathered}[/tex]
Thus, the value of x is 4.2.
Final answer:
The length x of MN is 4.2.
