A tile

A tile setter is covering 5ft by 5ft square shower wall. Each tile covers 4 5/8in by 4 5/8in square. How many rows of tile are needed to reach 5ft? How many tiles are needed to cover 5ft by 5ft square

Correct answer:

r =  13
n =  169

Step-by-step explanation:

$$\begin{gathered} a=5\text{ ft}\to \text{ in}=5\cdot 12\text{ in}=60\text{ in } \\ b=4+{\displaystyle \frac{5}{8}}={\displaystyle \frac{37}{8}}=4\frac{5}{8}=4.625\text{ inch } \\ {r}_1=a\mathrm{/}b=60\mathrm{/}4.625={\displaystyle \frac{480}{37}}=12\frac{36}{37}\doteq 12.973 \\ r=\lceil r_1\rceil =\lceil 12.973\rceil =13 \end{gathered}$$

$n=r^2=13^2=169$

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