Final answer:
By converting the area to square feet and using the given density of people per square foot, the estimated crowd size for the area 10 feet deep and 1 mile long would be approximately 3,140 people.
Step-by-step explanation:
The question is asking to estimate the size of a crowd that would fit in an area that is 10 feet deep and 1 mile long, given that 10 people fit into a 12 ft by 14 ft area. To solve this, we will convert miles to feet, calculate the area in question, and use the given density of people per square foot to estimate the crowd size.
First, we know that 1 mile equals 5280 feet. Multiplying the length in feet by the given depth, we calculate the total area:
- 10 ft (depth) x 5280 ft (1 mile) = 52,800 sq ft (total area)
Next, we calculate the area that is occupied by 10 people:
- 12 ft (width) x 14 ft (length) = 168 sq ft (area for 10 people)
Now, we determine how many times the smaller area fits into the larger one to find the crowd size:
- 52,800 sq ft (total area) / 168 sq ft (area for 10 people) = 314.29
Since we're estimating, we round this number down to 314.
Finally, we multiply this factor by the number of people that fit into the smaller area:
- 314 x 10 people = 3,140 people (estimated crowd size)