Question

The pentagons ABCDE and JKLMN are similar.Find the length y of MN.

Answer 1

Given:

The pentagons ABCDE and JKLMN are similar.

To find:

The length x of MN.

Step-by-step explanation:

Since the given pentagons are similair.

So, the corresponding sides are proportional.

Therefore, we write

`\begin{gathered} (CD)/(LM)=(DE)/(MN) \\ (2)/(2.8)=(3)/(x) \\ x=3*(2.8)/(2) \\ x=3*1.4 \\ x=4.2 \end{gathered}`

Thus, the value of x is 4.2.

Final answer:

The length x of MN is 4.2.