Question

Im trying to finish this problem and couldn’t figure it out

Answer 1

Answer: Option A. 18.2

Step-by-step explanation:

Step 1. The two polygons are similar. To find the length of BC, we will first identify the corresponding sides of the polygon, which are shown here in the same color:

Step 2. There must be a proportion between corresponding sides:

`(AB)/(PQ)=(BC)/(RQ)=(CD)/(RS)`

In this case, using only the first and second part of the proportion:

`\begin{gathered} \begin{equation*} (AB)/(PQ)=(BC)/(RQ) \end{equation*} \\ \downarrow\downarrow \\ (6.5)/(10)=(BC)/(28) \end{gathered}`

Step 3. From the last equation, we can solve to find BC. Move 28 to multiply on the left-hand side of the equation:

`(6.5)/(10)*28=BC`

Solving the operations:

`\begin{gathered} 0.65*28=BC \\ 18.2=BC \end{gathered}`

The length of BC is 18.2. This result is shown in option A.

Answer: Option A. 18.2