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 result:

n =  5

Solution:

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

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