Final answer:
The width of the soccer field is 74 meters.
Step-by-step explanation:
In order to find the width of the soccer field, we can use the formula for the area of a rectangle: length x width = area. Given that the area is 7,770 m² and the length is 105 meters, we can rearrange the formula to solve for the width:
105 meters x width = 7,770 m²
To isolate the width, we divide both sides of the equation by 105 meters:
width = 7,770 m² / 105 meters
width = 74 meters
Therefore, the width of the soccer field is 74 meters, so the correct answer is Option 3) 74 m.