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 are for 6m².

Correct answer:

n =  9

Step-by-step explanation:

$$\begin{gathered} a=6.8\text{ m } \\ b=4.5\text{ m } \\ x=6\text{ m } \\ y=3.8\text{ m } \\ S=a\cdot b+x\cdot y=6.8\cdot 4.5+6\cdot 3.8={\displaystyle \frac{267}{5}}=53\frac{2}{5}=53.4{\text{m}}^2 \\ {S}_1=6{\text{m}}^2 \\ {n}_1=S\mathrm{/}{S}_1=53.4\mathrm{/}6={\displaystyle \frac{89}{10}}=8\frac{9}{10}=8.9 \\ n=\lceil n_1\rceil =\lceil 8.9\rceil =9 \end{gathered}$$

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