Question

A smaller square is within a larger square as shown below. A point is chosen at random in the larger square. What percent of the time will be in the BLUE region? Round to the nearest tenth of a percent.

Answer 1

Answer: 84.5%

Step-by-step explanation:

15.2 × 15.2 = 231.04 cm² (area of the entire large square)

5.98 × 5.98 = 35.76 cm² (area of the small square)

large square - small square = area of the blue region

231.04 - 35.76 = 195.28 cm² (area of the blue region)

$\frac{area of the blue region}{large square}$ = percentage of time that the point will be in the blue region

$\frac{195.28}{231.04}$ = 0.845 --> 84.5%