Trevor

Trevor wishes to tile the floor of his bathroom. The bathroom is rectangular and is 4.2 m long and 3.3 m wide. The tiles are 30 cm by 30 cm. Calculate the cost to tile the floor if each tile costs 72 cents.

Final Answer:

p =  110.88 USD

Step-by-step explanation:

$$\begin{gathered} a=4.2\text{m} \\ b=3.3\text{m} \\ t=30\text{cm}\to \text{m}=30:100\text{m}=0.3\text{m} \\ {S}_1=t^2=0.3^2=\frac{9}{100}=0.09{\text{m}}^2 \\ {S}_2=a\cdot b=4.2\cdot 3.3=\frac{693}{50}=13.86{\text{m}}^2 \\ {n}_1=a/t=4.2/0.3=14 \\ {n}_2=b/t=3.3/0.3=11 \\ n=S_2/S_1=13.86/0.09=154 \\ {n}_3=n_1\cdot n_2=14\cdot 11=154 \\ n=n_3 \\ p=0.72\cdot n=0.72\cdot 154=110.88\text{USD} \end{gathered}$$

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