Question

Finding Geometric Probability
A smaller square inside of a larger square. The small square has side lengths of 5 inches, and the larger square has side lengths of 10 inches.

The figure shows a smaller square within a larger square. A point is chosen at random inside the larger square. What is the probability that this point is in the shaded area? Write the answer as a decimal.

Answer 1

Area of large square = 10^2 = 100.
Area of small square = 5^2 = 25.
Shaded area = 100 − 25 = 75, so probability = 75/100 = 0.75.