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:

`(x+9)/(14)=(9)/(6)`

By multiplying both sides by 14, we get

`\begin{gathered} x+9=(9*14)/(6) \\ x+9=21 \end{gathered}`

and by subtracting 9 to both sides, we have

`x=12`

Therefore, the answer is 12.