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 [tex]7500[/tex] ft.
To Find: If each student on average took up a circular space with a diameter of [tex]2.5[/tex] 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 [tex]2.5[/tex] ft and left some unused area as given in figures
Now,
Area acquired by a student is a square of side [tex]2.5[/tex] ft as given in figure
Area acquired by single student[tex]=(\text{length of square})^2[/tex]
[tex]=2.5\times2.5[/tex]
[tex]6.25\text{sq.ft}[/tex]
Total number of students [tex]=\frac{\text{total area of rectangular gym}}{\text{area acquired by single student}}[/tex]
[tex]\frac{7500}{6.25}[/tex]
[tex]1200[/tex]
there are approximately [tex]1200[/tex] students in gym hence option b is correct.
