Mathematics, 28.11.2019 04:31 ashtonbillups

Students were packed shoulder to shoulder in a gym for a pep rally. the students were in a rectangular shaped area of 7,500
ft. 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?
a)600
b)900
c)1,200
d)1,800

Answers: 2

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Answers

Answer from: Kianna000

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.

Students were packed shoulder to shoulder in a gym for a pep rally. the students were in a rectangul

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step-by-step explanation:

Answer from: Quest

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