In the kitchen 2

In a kitchen measuring 3 m × 2 m, we want to lay square tiles with sides of 20 cm on the floor, placed right next to each other. If there are exactly 40 tiles in one package, how many packages do we need to buy to cover the entire kitchen?

Final Answer:

n =  4

Step-by-step explanation:

$$\begin{gathered} a=3\text{m} \\ b=2\text{m} \\ x=20\text{cm}\to \text{m}=20:100\text{m}=0.2\text{m} \\ S=a\cdot b=3\cdot 2=6{\text{m}}^2 \\ {S}_1=x^2=0.2^2=\frac{1}{25}=0.04{\text{m}}^2 \\ {n}_1=S/S_1=6/0.04=150 \\ {n}_2=n_1/40=150/40=\frac{15}{4}=3\frac{3}{4}=3.75 \\ n=\lceil n_2\rceil =\lceil 3.75\rceil =4 \end{gathered}$$

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