To determine how much space each child has on the playground, you first need to calculate the total area of the playground and then divide that by the number of children.
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Calculate the area of the rectangle: \[ \text{Area} = \text{length} \times \text{width} = 180 , \text{ft} \times 100 , \text{ft} = 18000 , \text{ft}^2 \]
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Divide the total area by the number of children: \[ \text{Space per child} = \frac{\text{total area}}{\text{number of children}} = \frac{18000 , \text{ft}^2}{55} \]
Calculating that: \[ \text{Space per child} \approx 327.27 , \text{ft}^2 \]
So, each child has approximately 327.27 ft² of space on the playground.
The correct answer is: 327.27 ft²