Question

△FSB∼△ZDR . What is the value of x?

Answer 1

Answer: The value of  x is 22 units.

Step-by-step explanation:

Since we have given that

△FSB∼△ZDR

So, By Similarity theorem, the ratio of corresponding sides must be equal.

So, it becomes

$\frac{SF}{BF}=\frac{DZ}{ZR}\\\\\frac{38}{55}=\frac{15.2}{x}\\\\38\times x=15.2\times 55\\\\x=\frac{15.2\times 55}{38}\\\\x=22$

Hence, the value of  x is 22 units.

Answer 2

Check the picture below.