Question

17 people fit comfortably in a 7 feet by 7 feet area. Use this value to estimate the size of a crowd that is 21 feet deep on both sides of the street along a 3-mile section of a parade route. (Hint: 1mile= 5,280ft) Draw a diagram

Answer 1

In order to estimate the size of the crowd, let's find the area of the parade route.

The length is 3 miles, that is, 3 * 5280 = 15840 ft.

The width is 2 times 21, so 42 ft.

Therefore the area is:

`A=15840\cdot42=665280`

Now, to estimate the size of the crowd, let's use a rule of three, knowing that the area for 17 people is 7 * 7 = 49 ft²:

`\begin{gathered} 17\text{ people}\to49\text{ ft}^2 \\ x\text{ people}\to665280\text{ ft}^2 \\ \\ (17)/(x)=(49)/(665280) \\ x=(665280\cdot17)/(49) \\ x=230811.43 \end{gathered}`

Rounding to the nearest integer, we have 230,881 people.