A rectangle with the length of 75 miles and width of 25 miles can be used to model building usage at one of Florida's universities. Only 70% of the buildings at this university are used for instruction. If 32,125 students are enrolled at this university, what is the average student population density per square mile of building space used for instruction, rounded to the nearest student?
Accepted Solution
A:
Answer:24 students per mileStep-by-step explanation:Given in the question,Length of rectangle for building university = 75 milesWidth of rectangle for building university = 25 milesTotal area:Length x Width= 75 x 25 = 1875 miles²Only 70% of the buildings at this university are used for instruction70% of 1875 miles²70/100 x 1875= 1312.5 miles²32,125 students are enrolled at this universitySo,1312.5 miles² = 32,125 students 1 mile = 32,125/1312.5 = 24 students per mile