# 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.

Result

n =  9

#### Solution:

$a = 6.8 \ m \ \\ b = 4.5 \ m \ \\ \ \\ x = 6 \ m \ \\ y = 3.8 \ m \ \\ \ \\ S = a \cdot \ b + x \cdot \ y = 6.8 \cdot \ 4.5 + 6 \cdot \ 3.8 = \dfrac{ 267 }{ 5 } = 53.4 \ m^2 \ \\ S_{ 1 } = 6 \ m^2 \ \\ \ \\ n_{ 1 } = S/S_{ 1 } = 53.4/6 = \dfrac{ 89 }{ 10 } = 8.9 \ \\ n = \lceil n_{ 1 } \rceil = \lceil 8.9 \rceil = 9$

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