Question

Solve for x. The number that is cut off is 14. Suppose that both figures are similar.

Answer 1

Since both rectangles are similar, the following ratio must be fulfilled:

$\frac{x+9}{14}=\frac{9}{6}$

By multiplying both sides by 14, we get

$\begin{gathered} x+9=\frac{9\times14}{6} \\ x+9=21 \end{gathered}$

and by subtracting 9 to both sides, we have

$x=12$

Therefore, the answer is 12.