Question

F the rectangles given below are similar, then x = ____.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

rectangle diagram

Step 02:

geometry:

similar figures:

`\begin{gathered} (3)/(x+11)=(5)/(25) \\ \\ 3*25\text{ = 5 * \lparen x +11\rparen} \\ \\ 75\text{ = 5x + 55} \\ \\ 75\text{ - 55 = 5x} \\ \\ 20\text{ = 5x} \\ \\ (20)/(5)\text{ = x} \\ \\ 4\text{ = x} \end{gathered}`

The answer is:

x = 4