Answer:
The area of the larger label is 187.5 square centimeters.
Step-by-step explanation:
If the two bottles are mathematically similar, then the label area is directly proportional to the capacity of the bottle. If we know that a 0.512 L-bottle has a label area of 96 square centimeters, then the label area of a 1-L bottle is determined by this simple rule of three:
[tex]x = 96\,cm^{2}\times \frac{1\,L}{0.512\,L}[/tex]
[tex]x = 187.5\,cm^{2}[/tex]
The area of the larger label is 187.5 square centimeters.
