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In-s [12.5K]
3 years ago
7

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. Estim

ate 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.
Mathematics
1 answer:
raketka [301]3 years ago
7 0

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

12\times 17\\\\=204\ sq.\ foot

As we know that 1 foot = 12 inch

So, Area of floor would be

204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot

Dimension of brick tiles is given by

3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}

So, Area of brick tiles is given by

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}

So, Number of clay brick would be

29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442

cost of each clay brick = $0.72

So, Total cost of flooring would be

442\times 0.72\\\\=\$318.24

Hence, The cost to tile the floor is $318.24.

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