To calculate the least amount of money required to buy tiles for the rectangular floor measuring 19.8m by 8.4m, follow these steps:
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Calculate the area of the floor: \[ \text{Area} = \text{Length} \times \text{Width} = 19.8 , \text{m} \times 8.4 , \text{m} = 166.32 , \text{m}^2 \]
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Assume the size of each tile (if not given). Let's assume each tile is 1m². If the tile size is different, please provide it.
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Calculate the number of tiles needed: If each tile covers 1 m²: \[ \text{Number of tiles needed} = \text{Area of the floor} = 166.32 , \text{tiles} \] Since you can't buy a fraction of a tile, round up to the nearest whole number: \[ \text{Tiles needed} = 167 , \text{tiles} \]
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Determine how many boxes of tiles are needed: Each box contains 22 tiles. The number of boxes needed is: \[ \text{Number of boxes} = \frac{\text{Tiles needed}}{\text{Tiles per box}} = \frac{167}{22} \approx 7.59 \] Round up to the nearest whole number because you cannot purchase a fraction of a box: \[ \text{Boxes needed} = 8 \]
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Calculate the total cost: Each box costs Kshs 2000. \[ \text{Total cost} = \text{Boxes needed} \times \text{Cost per box} = 8 \times 2000 = 16000 , \text{Kshs} \]
Therefore, the least amount of money required to buy the tiles is Kshs 16,000.