Paint cans

How many paint cans do we need to paint the floor in two rooms with dimensions of 6.8m x 4.5m and 6m x3.8m? One can arefor 6m².

Correct result:

n =  9

Solution:

a=6.8 m b=4.5 m  x=6 m y=3.8 m  S=a⋅ b+x⋅ y=6.8⋅ 4.5+6⋅ 3.8=2675=53.4 m2 S1=6 m2  n1=S/S1=53.4/6=8910=8.9 n=⌈n1⌉=⌈8.9⌉=9a=6.8 \ \text{m} \ \\ b=4.5 \ \text{m} \ \\ \ \\ x=6 \ \text{m} \ \\ y=3.8 \ \text{m} \ \\ \ \\ S=a \cdot \ b + x \cdot \ y=6.8 \cdot \ 4.5 + 6 \cdot \ 3.8=\dfrac{ 267 }{ 5 }=53.4 \ \text{m}^2 \ \\ S_{1}=6 \ \text{m}^2 \ \\ \ \\ n_{1}=S/S_{1}=53.4/6=\dfrac{ 89 }{ 10 }=8.9 \ \\ n=\lceil n_{1} \rceil=\lceil 8.9 \rceil=9

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