To calculate the cost of putting a new concrete floor in the garage, we need to first find the area of the garage and then multiply that by the cost per square meter.
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Calculate the area of the garage: \[ \text{Area} = \text{Length} \times \text{Width} = 10 , \text{meters} \times 6 , \text{meters} = 60 , \text{square meters} \]
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Calculate the cost: \[ \text{Cost} = \text{Area} \times \text{Cost per square meter} = 60 , \text{square meters} \times 4.18 , \text{dollars/square meter} = 250.80 , \text{dollars} \]
Therefore, the cost to put a new concrete floor in the garage would be $250.80.