Answer:
the floor area of the production line =20000 m^2
Step-by-step explanation:
From the question we were told two thirds of the floor of the factory is taken up by the production line.
If we denote the total area of the factory as "y" then
the Area of the production line can be express algebraically as
2/3 × y = 2y/3
The rest of floor area of warehouse space will be
y- 2y/3 = y/3
From the rest of floor area, we were told three fifths is taken up by the office space, then this office space's area can be expressed in m^3 as
3/5 × y/3 = y/5
The remaining space left will now be for
warehouse, by we were given warehouse space omas 2000m^2.
Then from here we can get value of y
2y/15 = 2000
2y = (2000×15)
2y= 30000
y= 15000m^2
Therefore, the floor area of the production line can be expressed as
(2 ×30000)/3
= 20000 m^2
Quit easily done!
