the target in the figure shown to the right contains four squares. if a dart thrown at random hits the…

the target in the figure shown to the right contains four squares. if a dart thrown at random hits the target, find the probability that it will land in a green region.\nthe probability that a dart will land in a green region of the square target is \n(type an integer or a simplified fraction.)

the target in the figure shown to the right contains four squares. if a dart thrown at random hits the target, find the probability that it will land in a green region.\nthe probability that a dart will land in a green region of the square target is \n(type an integer or a simplified fraction.)

Answer

Explanation:

Step1: Calculate total area

The side - length of the largest square is 20 m, so the total area $A_{total}=20\times20 = 400$ m².

Step2: Calculate green - area

The green - area is the sum of the areas of the two green - squares. The side - length of the smaller green square is 5 m and the side - length of the larger green square is 10 m. So $A_{green}=5\times5 + 10\times10=25 + 100 = 125$ m².

Step3: Calculate probability

The probability $P=\frac{A_{green}}{A_{total}}=\frac{125}{400}=\frac{5}{16}$.

Answer:

$\frac{5}{16}$