The corridor

The corridor is 12 m long and 3.6 m wide. It must be paved with rectangular tiles measuring 15 cm and 30 cm. Are 1000 pieces of tiles enough to pave the corridor?

Final Answer:

x =  960

Step-by-step explanation:

$$\begin{gathered} a=12\text{m} \\ b=3.6\text{m} \\ x=15\text{cm}\to \text{m}=15:100\text{m}=960\text{m} \\ y=30\text{cm}\to \text{m}=30:100\text{m}=0.3\text{m} \\ {S}_1=a\cdot b=12\cdot 3.6=\frac{216}{5}=43\frac{1}{5}=43.2{\text{m}}^2 \\ {S}_2=x\cdot y=960\cdot 0.3=\frac{9}{200}=0.045{\text{m}}^2 \\ x=S_1/S_2=43.2/0.045=960 \\ x<1000=>OK \end{gathered}$$

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