The population density of a square platform must be less than four people per square yard to meet safety requirements. The expected attendance at the event is 150 people. What is the minimum side length, in whole yards, of the platform that meets safety requirements?



Answer :

Answer:

  7 yards

Step-by-step explanation:

You want the size in yards of a square that will support 150 people with a density of less than 4 per square yard.

Platform size

The area of the platform must be at least ...

  [tex]\dfrac{150\text{ people}}{4\text{ people/yd}^2}=37.5\text{ yd}^2[/tex]

A square with a side length of 6 yards is insufficient.

The next larger square will be one with a side length of 7 yards.

The minimum safe platform size is 7 yards square.