To find the total area of the garden and the path, we first need to calculate the total radius of the garden plus the path.
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Calculate the radius of the garden:
- Given the Garden's radius = 4 feet.
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Calculate the width of the path:
- The path around the garden is 2 feet wide.
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Calculate the total radius (garden + path): \[ \text{Total radius} = \text{Garden radius} + \text{Path width} = 4 \text{ feet} + 2 \text{ feet} = 6 \text{ feet} \]
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Calculate the area of the garden (using \( \pi \approx 3.14 \)):
- The formula for the area of a circle is \( \text{Area} = \pi r^2 \). \[ \text{Area of the garden} = 3.14 \times (4^2) = 3.14 \times 16 = 50.24 \text{ square feet} \]
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Calculate the area of the larger circle (garden + path): \[ \text{Area of the larger circle} = 3.14 \times (6^2) = 3.14 \times 36 = 113.04 \text{ square feet} \]
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Calculate the total area of the garden and path (just the larger circle's area): The total area of the garden plus the path is the area of the larger circle: \[ \text{Total area} = \text{Area of the larger circle} = 113.04 \text{ square feet} \]
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Rounding to the nearest tenth: \[ \text{Total area rounded} = 113.0 \text{ square feet} \]
Thus, the total area of the garden and path is \( \boxed{113.0} \) square feet.