MATH SOLVE

4 months ago

Q:
# A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estimate the cost to tile the floor of a 12-by-17-foot room. Each clay brick tile sells for $0.72. Round your final answer to the nearest hundred.

Accepted Solution

A:

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 inchSo, 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 = $0.72So, Total cost of flooring would be [tex]442\times 0.72\\\\=\$318.24[/tex]Hence, The cost to tile the floor is $318.24.