Trevor

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

Correct 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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