Answer: The cost to tile the floor is $318.24.
Step-by-step explanation:
Since we have given that
Dimensions of floor is 12 by 17 foot.
So, Area of floor would be
[tex]12\times 17\\\\=204\ sq.\ foot[/tex]
As we know that 1 foot = 12 inch
So, Area of floor would be
[tex]204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot[/tex]
Dimension of brick tiles is given by
[tex]3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}[/tex]
So, Area of brick tiles is given by
[tex]2(lb+bh+lh)\\\\=2(\dfrac{29}{8}\times \dfrac{61}{8}+\dfrac{61}{8}\times \dfrac{1}{2}+\dfrac{29}{8}\times \dfrac{1}{2})\\\\=2(\dfrac{1769}{64}+\dfrac{61}{16}+\dfrac{29}{16})\\\\=2\times \dfrac{1769+244+116}{64}\\\\=\dfrac{2129}{32}[/tex]
So, Number of clay brick would be
[tex]29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442[/tex]
cost of each clay brick = $0.72
So, Total cost of flooring would be
[tex]442\times 0.72\\\\=\$318.24[/tex]
Hence, The cost to tile the floor is $318.24.
