Akhtar plans to cover a rectangular floor of dimensions 9.5 meters and 11.5 meters using tiles. Two types of square shaped tiles are available in the market. A tile with side 1 meter costs Rs. 100 and a tile with side 0.5 meters costs Rs. 30. The tiles can be cut if required. What will be the minimum cost of covering the entire floor with tiles?
Solution
Area of rectangular floor = $$9.5 \times 11.5$$
= $$109.25 m^2$$
Now, cost of covering $$109 m^2$$ (with 1x1 tiles) = $$109 \times 100$$ = Rs. 10,900
Cost of covering $$0.25 m^2$$ (with 0.5 m square tile) = Rs. 30
$$\therefore$$ Total cost = $$10,900 + 30 = Rs. 10,930$$
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