Question

The pentagons ABCDE and PQRST are similar. Find the length x of RS.

Answer 1

Given:

Two pentagons are similar.

`\begin{gathered} CD=6 \\ CB=2 \\ BA=3 \\ RQ=1.6 \\ QP=2.4 \\ RS=x \end{gathered}`

Required:

To find the value of x.

Step-by-step explanation:

Write proposition,

`(CD)/(x)=(CB)/(RQ)`

Substitute the given values, we get

`\begin{gathered} (6)/(x)=(2)/(1.6) \\ 2x=6*1.6 \\ 2x=9.6 \\ x=4.8 \end{gathered}`

Final Answer:

The value of x is,

`x=4.8`