Question

a dart is dropped above the target shown in the diagram. the dart has an equal chance of landing on any spot on the target. what is the probability the dart will land in the shaded square on the larger? round the answer to the nearest hundredth. enter the answer in the box.

Explanation:

Step1: Calculate area of large square

The area of a square is $A = s^2$, where $s$ is the side - length. For the large square with $s = 20$ cm, $A_{large}=20\times20 = 400$ $cm^2$.

Step2: Calculate area of small square

For the small square with $s = 4$ cm, $A_{small}=4\times4=16$ $cm^2$.

Step3: Calculate probability

The probability $P$ that the dart lands in the shaded region is the ratio of the area of the shaded region (small square) to the area of the large square. So $P=\frac{A_{small}}{A_{large}}=\frac{16}{400}=0.04$.

Answer:

$0.04$