The city limits of Las Pythagoras form a perfect shape of an isosceles right triangle whose legs are both 25 kilometers long. The population in Las Pythagoras is 100,000 people. What is the population density of Las Pythagoras? Round your answer, if necessary, to the nearest integer.

To find the population density, you first need to calculate the area of the isosceles right triangle. The area (A) can be found using the formula A = (1/2) × base × height. Since both legs are 25 km, the area will be A = (1/2) × 25 × 25 = 312.5 square kilometers. Now, divide the total population by the area to find the population density: Population Density = 100,000 people / 312.5 km² = 320 people/km² (rounded to the nearest integer). So, the population density of Las Pythagoras is approximately 320 people per square kilometer.