Question

A rectangular field is a 10 m into 8 m apart of 1.5 m running inside the field a child is playing in the field what is the probability that he is playing in path

Answer 1

there is approximately a 43.75% chance that the child is playing in the path.

Explanation:

To calculate the probability that the child is playing in the path, you need to determine the area of the path and compare it to the total area of the field.

The given rectangular field has dimensions of 10 meters by 8 meters. Inside this field, there is a path that is 1.5 meters wide. To find the area of the path, you subtract the area of the inner rectangle from the area of the outer rectangle.

The area of the outer rectangle (field) is calculated by multiplying its length and width:

Area of field = 10 m * 8 m = 80 square meters

The area of the inner rectangle (path) is calculated in the same way:

Area of path = (10 m - 2 * 1.5 m) * (8 m - 2 * 1.5 m)

= (10 m - 3 m) * (8 m - 3 m)

= 7 m * 5 m

= 35 square meters

Now, you can calculate the probability that the child is playing in the path by dividing the area of the path by the total area of the field:

Probability = Area of path / Area of field

= 35 square meters / 80 square meters

≈ 0.4375

Therefore, there is approximately a 43.75% chance that the child is playing in the path.