Question

Please help with the question below (please try to answer in max 5/10 minutes).

Answer 1

ANSWER:

$\begin{equation*} 8\frac{1}{4}\text{ in} \end{equation*}$

EXPLANATION:

Given:

Recall that if two figures are similar, then their corresponding sides are in equal proportion.

So we can go ahead and solve for x as seen below;

$\begin{gathered} \frac{3}{x}=\frac{1}{2\frac{3}{4}} \\ \\ \frac{3}{x}=\frac{1}{\frac{11}{4}} \\ \\ \frac{3}{x}=\frac{4}{11} \\ \\ 4x=3*11 \\ \\ x=\frac{33}{4} \\ \\ x=8\frac{1}{4}\text{ in} \end{gathered}$