Question

Students were packed shoulder to shoulder in a gym for a pep rally. The students were in a rectangular shaped area of 7,500

Answer 1

Answer:

c)1200

Step-by-step explanation:

Given: Students were packed shoulder to shoulder in a gym for a pep rally. The students were in a rectangular shaped area of $7500$ ft.

To Find: If each student on average took up a circular space with a diameter of $2.5$ ft what is the best estimate for the number of  students at the pep rally.

Solution:

Consider the figures attached

A student took up a circular space, if they were packed in rows each student acquired a circular space of $2.5$ ft and left some unused area as given in figures

Now,

Area acquired by a student is a square of side $2.5$ ft as given in figure

Area acquired by single student$=(\text{length of square})^2$

                                                     $=2.5\times2.5$

                                                     $6.25\text{sq.ft}$

Total number of students            $=\frac{\text{total area of rectangular gym}}{\text{area acquired by single student}}$

                                                     $\frac{7500}{6.25}$

                                                     $1200$

there are approximately $1200$ students in gym hence option b is correct.