To find the total cost of the new flooring, we first need to calculate the area of the fitness area and then multiply that by the cost per square foot.
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Calculate the area of the fitness area: \[ \text{Area} = \text{Length} \times \text{Width} = 150 , \text{ft} \times 50 , \text{ft} = 7500 , \text{ft}^2 \]
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Calculate the total cost of the flooring: \[ \text{Cost} = \text{Area} \times \text{Cost per square foot} = 7500 , \text{ft}^2 \times 10.00 , \text{$ per ft}^2 = 75000 , \text{$} \]
Therefore, the new flooring will cost $75,000.