To find the actual area of the triangular park represented on the map, we first need to determine its dimensions in the actual size using the given scale of the map.
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Convert the dimensions from inches to yards:
- Base: \(3 \text{ inches} \times 20 \text{ yards/inch} = 60 \text{ yards}\)
- Height: \(2 \text{ inches} \times 20 \text{ yards/inch} = 40 \text{ yards}\)
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Calculate the area of the triangle using the formula: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Substituting the actual dimensions: \[ \text{Area} = \frac{1}{2} \times 60 \text{ yards} \times 40 \text{ yards} = \frac{1}{2} \times 2400 \text{ yd}^2 = 1200 \text{ yd}^2 \]
Therefore, the actual area of the park is \( \boxed{1200 \text{ yd}^2} \).
The correct answer is D. 1,200 yd².