Final answer:
To estimate the crowd size, calculate the total area along a 2-mile route stretched 5 feet wide on each side, then divide by the area that accommodates 10 people. A 2-mile route is 10,560 feet long, and doubling the area for both sides of the street gives 105,600 square feet. Dividing by 25 square feet for 10 people results in an estimated crowd size of 42,240 people.
Step-by-step explanation:
To estimate the size of a crowd that is 5 feet deep on both sides of a street along a 2-mile section of a parade route, given that 10 people fit comfortably in a 5 foot by 5 foot area, we can use the given measurements to calculate the total area occupied by the crowd and then determine the number of people it can accommodate.
First, we need to convert the parade route length from miles to feet. As 1 mile equals 5,280 feet, a 2-mile stretch would be 2 × 5,280 feet, which is 10,560 feet.
Next, let's calculate the area that the crowd can occupy. On each side of the street, the area is 5 feet deep and 10,560 feet long. The total area on one side is 5 feet × 10,560 feet, equal to 52,800 square feet. Since the crowd is on both sides of the street, we need to double this area, resulting in 105,600 square feet (52,800 feet × 2).
Now, we know from the initial information that 10 people can fit in a 5 foot by 5 foot area, which is 25 square feet. To find out how many 25 square feet areas are in 105,600 square feet, we divide 105,600 by 25, resulting in 4,224. This means there are 4,224 spots of 5x5 feet along the 2-mile stretch.
Finally, if 10 people fit into each 25 square foot area, then 10 people × 4,224 spots equals 42,240 people who can fit along the 2-mile stretch on both sides of the street.