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 a smaller rectangle of length 4 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? (1 point)


76%

50%

24%

12%

Answer 1

The area of the large rectangle is 10 * 5 = 50 square units.

The area of the shaded region (smaller rectangle) is 4 * 3 = 12 square units.

Therefore, the probability that a point chosen inside the large rectangle is not in the shaded region is the ratio of the area not in the shaded region to the total area of the large rectangle.

This is (50 - 12) / 50 = 38 / 50 = 76%.

Therefore, the correct answer is 76%.