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.
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.