In a factory, two thirds of the floor are is taken up by the production line. out of the remaining floor area, three fifths is taken up by the office space. the rest is warehouse space. the warehouse space occupies 2000m2.workout the floor area of the production line.

the floor area of the production line is 20000 m^2

Step-by-step explanation:

Let x represent the total area of the factory.

In the factory, two thirds of the floor are is taken up by the production line. This means that the area of the production line is 2/3 × x = 2x/3 m^2

The remaining floor area would be

x - 2x/3 = x/3 m^2

Out of the remaining floor area,three fifths is taken up by the office space. This means that the area taken up by the office space would be 3/5 × x/3 = x/5 m^2

The remaining area would be

x/3 - x/5 = 2x/15

The rest is warehouse space. The warehouse space occupies 2000m2. This means that

2x/15 = 2000

2x = 15 × 2000 = 30000

x = 30000/2 = 15000m^2

The floor area of the production line would be

(2 × 30000)/3 = 20000 m^2

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