A tile

A tile setter is covering a 5ft by 5ft square shower wall. Each tile covers 4 5/8in by 4 5/8in a 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:

$$\begin{gathered} a=5\text{ft}\to \text{in}=5\cdot 12\text{in}=60\text{in} \\ b=4\frac{5}{8}=4+\frac{5}{8}=\frac{4\cdot 8+5}{8}=\frac{32+5}{8}=\frac{37}{8}=4\frac{5}{8}=4.625\text{inch} \\ {r}_1=a/b=60/\frac{37}{8}=60:\frac{37}{8}=60\cdot \frac{8}{37}=\frac{60\cdot 8}{37}=\frac{480}{37}\doteq 12.973 \\ r=\lceil r_1\rceil =\lceil 12.973\rceil =13 \end{gathered}$$

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

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