# 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 result:

r =  13
n =  169

#### Solution:

$a=5 \ ft \rightarrow in=5 \cdot \ 12 \ in=60 \ in \ \\ b=4 + \dfrac{ 5 }{ 8 }=\dfrac{ 37 }{ 8 }=4.625 \ \text{inch} \ \\ \ \\ r_{1}=a/b=60/4.625 \doteq \dfrac{ 480 }{ 37 } \doteq 12.973 \ \\ r=\lceil r_{1} \rceil=\lceil 12.973 \rceil=13$

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