To find the area of the triangular sail, we first calculate the area of the scaled drawing using the formula for the area of a triangle:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Given:
- Height of the triangle in the drawing = 2 feet
- Base of the triangle in the drawing = 1 foot
Substituting the values into the formula:
\[ \text{Area} = \frac{1}{2} \times 1 , \text{foot} \times 2 , \text{feet} = \frac{1}{2} \times 2 = 1 , \text{square foot} \]
Now, this area is for the 1/25 scale drawing. To find the area of the actual sail, we need to scale up the area from the drawing. Since the drawing is at a scale of 1/25, the actual dimensions are 25 times larger than the drawing dimensions.
The area scales with the square of the linear scale factor, which in this case is \(25^2 = 625\).
Thus, the area of the actual sail is:
\[ \text{Area of the actual sail} = 1 , \text{square foot} \times 625 = 625 , \text{square feet} \]
Therefore, the area of the sail is \(\boxed{625} \) square feet.
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