# maths

posted by
**temise**
.

According to health and safety policy, classrooms should allow for 1.8sqm of floor space per person and an additional 9sqm.

A plan indicates that a classroom's floor dimensions should be 12.0m by 4.5m

a Based on these figures, clculate the maximum number of students that can use the classroom, assuming there is only one teacher present.

b If the dimensions have been corrected to 1 dp calculate the maximum and minimum possible floor areas

c investigate the absolute and relative errors between the minimum possible floor area and the plan's floor area, and the significance in terms of potential number of students in the classroom.

The floor area is 12 x 4.5 = 54 m^2

Let N be the number of students. The minimum area required for N students is

A = 1.8 (N+1)+ 9

if A = 54,

N+1 = 45/1.8 = 25

N = 24 students (and 1 teacher)