# The room

The room has a cuboid shape with dimensions: length 50m and width 60dm and height 300cm. Calculate how much this room will cost paint (floor is not painted) if the window and door area is 15% of the total area and 1m2 cost 15 euro.

Result

x =  8109 Eur

#### Solution:

$a=50 \ \text{m} \ \\ b=60 \ dm \rightarrow m=60 / 10 \ m=6 \ m \ \\ c=300 \ cm \rightarrow m=300 / 100 \ m=3 \ m \ \\ \ \\ S=a \cdot \ b + 2 \cdot \ (a+b) \cdot \ c=50 \cdot \ 6 + 2 \cdot \ (50+6) \cdot \ 3=636 \ \text{m}^2 \ \\ S_{1}=(1-15/100) \cdot \ S=(1-15/100) \cdot \ 636=\dfrac{ 2703 }{ 5 }=540.6 \ \text{m}^2 \ \\ \ \\ x=15 \cdot \ S_{1}=15 \cdot \ 540.6=8109 \ \text{Eur}$

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