Dimensions 38273

In the family house, they will line the hall with 6m * 10m tiles with dimensions of 25cm * 35cm. How many tiles do they consume if they have to count on a tenth of the waste?

Correct answer:

n =  755

Step-by-step explanation:

$$\begin{gathered} a=6\text{m} \\ b=10\text{m} \\ x=25\text{cm}\to \text{m}=25:100\text{m}=0.25\text{m} \\ y=35\text{cm}\to \text{m}=35:100\text{m}=0.35\text{m} \\ {S}_1=a\cdot b=6\cdot 10=60{\text{m}}^2 \\ {S}_2=x\cdot y=0.25\cdot 0.35=\frac{7}{80}=0.0875{\text{m}}^2 \\ {n}_1=\lceil S_1/S_2\rceil =\lceil 60/0.0875\rceil =686 \\ n=\lceil n_1+n_1/10\rceil =\lceil 686+686/10\rceil =755 \end{gathered}$$

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