Question

A typical classroom is a rectangle with dimensions of 20 feet wide by 25 feet long, and the area needed for each person in the room is approximately 28 square feet, what fraction of the total area in a classroom is needed for each person? What is the largest number of people that would fit in an average sized classroom while practicing good social distancing?

Answer 1

Answer:

A fraction of 0.056 of the classroom is needed for each student.

A typical classroom can acomodate up to 17 persons while practicing good social distancing.

Step-by-step explanation:

We have a classroom that is a recatngle with dimensions of 20 feet wide by 25 feet long.

The total area of the classroom is:

$A=w\cdot l=20\cdot25=500$

As the area of the classromm is 500 square feet and we need 28 square feet for each student, the fraction that is needed for each student is:

$f=\dfrac{A_{\text{student}}}{A_{\text{classroom}}}=\dfrac{28}{500}=0.056$

A fraction of 0.056 of the classroom is needed for each student.

The largest number of students that would fit in an average sized classroom while practicing good social distancing can be calculated dividing the area of the classroom by the area needed for each student. This is equal to the inverse of the fraction calculated previously:

$n=\dfrac{1}{f}=\dfrac{1}{0.056}\approx17.86$

A typical classroom can acomodate up to 17 persons while practicing good social distancing.