The figure below shows a shaded rectangle inside a large rectangle: a rectangle of length 10 units and width 5 units is shown. inside this rectangle is another rectangle of length 9 units and width 3 units placed symmetrically inside the larger rectangle. the smaller rectangle is shaded gray. if you choose a point inside the large rectangle, what is the probability that it is not inside the shaded rectangle?

Step-by-step explanation:

Given : The length of larger rectangle = 10 units

The width of larger rectangle = 5 units

The area of the larger rectangle will be :-

The length of smaller rectangle = 9 units

The width of the smaller rectangle = 3 units

The area of the smaller rectangle will be :-

Now, the probability that it is inside the shaded rectangle :-

Then , the probability that it is not inside the shaded rectangle will be:-

x = 3 ± √(5+y)