Two sides paint

The door has the shape of a rectangle with dimensions of 260cm and 170cm. How many cans of paint will be needed to paint this door if one can of paint cover 2m² of the area? We paint the doors on both sides.

Correct answer:

n =  5

Step-by-step explanation:

$$\begin{gathered} a=260\text{ cm}\to \text{ m}=260\mathrm{/}100\text{ m}=2.6\text{ m } \\ b=170\text{ cm}\to \text{ m}=170\mathrm{/}100\text{ m}=1.7\text{ m } \\ {S}_1=a\cdot b=2.6\cdot 1.7={\displaystyle \frac{221}{50}}=4\frac{21}{50}=4.42{\text{m}}^2 \\ {S}_2=2\cdot S_1=2\cdot 4.42={\displaystyle \frac{221}{25}}=8\frac{21}{25}=8.84{\text{m}}^2 \\ {S}_3=2{\text{m}}^2 \\ n=\lceil S_2\mathrm{/}{S}_3\rceil =\lceil 8.84\mathrm{/}2\rceil =5 \end{gathered}$$

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