Question

15 People fit comfortably in a 6 feet by 6 feet area. Use this value to estimate the size of a crowd that is 7 feet deep on both sides of the street along a 2-mile section of a parade route.

Answer 1

`\boxed{\text{30 800 people}}`

Explanation:

1. Area of the crowd

The crowd fills a rectangle that is 2 mi long and 7 ft wide.

(a) Convert miles to feet.

`\text{l} = \text{2 mi} * \frac{\text{5280 ft}}{\text{1 mi}} = \text{10 560 ft}`

(b) Calculate the area

A = lw = 10 560 ft × 7 ft = 73 920 ft²

2. Size of crowd

15 people occupy an area of 6 ft × 6 ft = 36 ft²

`\text{Size of crowd} = \text{73 920 ft}^(2)* \frac{\text{15 people}}{\text{36 ft}^(2)} = \textbf{30 800 people}\\\text{The size of the crowd is $\boxed{\textbf{30 800 people}}$}`