Figure a is dilated by a scale factor of 1/2 to form figure b. What is the length of x?

Answer:The correct option is 3. The value of x is 8 inches.Step-by-step explanation:It is given that Figure A is dilated by a scale factor of 1/2 to form Figure B. It means both figure are similar and corresponding sides of similar figures are proportional.[tex]\text{scale factor}=\frac{\text{Side of image}}{\text{Side of preimage}}[/tex][tex]\frac{1}{2}=\frac{x}{16}[/tex]Multiply both sides by 16.[tex]\frac{16}{2}=x[/tex][tex]8=x[/tex]Since scale factor is 1/2, so we can directly say that the side length of image is half of the corresponding side of preimage.The length of x is 8 inches. Therefore the correct option is 3.