Question

The figure below shows a shaded rectangular region inside a large rectangle:

A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 7 units and width 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray.


What is the probability that a point chosen inside the large rectangle is not in the shaded region?


42%

58%

72%

84%

Answer 1

58%

Explanation:

Took the quiz and got it correct.

Answer 2

First we need to find the areas of both rectangles.

And area of larger rectangle = 10*5=50 square units

Area of smaller rectangle = 7*3 = 21 square units

Area between the two rectangles, = 50-21=29 square units

And since, we have to find the probability that a point is choosen is not in the shaded rectangle that is the smaller rectangle, so it means we have to find the probability of the point is choosen in the area between the two rectangles . Therefore,

Required probability =

`=(29)/(50)*100 =58%`

Therefore correct option is the second option .