Final answer:
To find the minimum side length of the platform that meets safety requirements, calculate the area of the platform and then determine the side length using an inequality. The minimum side length is approximately 24 yards.
Step-by-step explanation:
To find the minimum side length of the platform that meets safety requirements, we need to calculate the area of the platform and then determine the side length. Given that the population density must be less than 4 people per square yard, and the expected attendance is 150 people, we can set up the following inequality:
Area of platform ÷ Side length of platform < 4
Let's solve for the side length:
Area of the platform < 4 × Side length of the platform
Area of the platform < 600
Since the area of the platform is equal to the side length squared, we have:
Side length squared < 600
By taking the square root of both sides, we get:
Side length < √600
Therefore, the minimum side length, in whole yards, of the platform that meets safety requirements is approximately 24 yards.