A target is made of a yellow square inside of a green square. What is the theoretical probability that a dart will hit the green square if the side length of the yellow square is 4, and the side length of the green square is 8? Use percent or decimal.

1 answer

The area of the yellow square is $4^2=16$ square units, and the area of the green square is $8^2=64$ square units. Thus, the ratio of the area of the green square to the total area is $\frac{64}{64+16}=\frac{64}{80}=0.8$. This probability can also be expressed as 80%.