To calculate the area of the non-shaded part of the wings of the dragonfly kite, we'll first need to decompose the wings into simple shapes based on the provided dimensions. The dimensions given are:
- One wing has a length of 2.6 meters (presumably the diagonal length of the wings).
- The width at the widest part of the wing is 0.4 meters.
- The base of the wing has a height of 1.4 meters and a span width of 0.3 meters.
Assuming the wings can be approximated as a triangle and a rectangle, let's calculate the area of each part:
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Triangle from the top of the wing: The base of the triangle is equal to the width of the wing (0.4 m) and the height is the distance from the top to the base (1.4 m).
\[ \text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 0.4 \times 1.4 = 0.28 \text{ m}^2 \]
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Rectangle from the bottom of the wing: The rectangle would have a length equal to the wing span (2.6 m) and a height equal to the width (0.3 m).
\[ \text{Area of rectangle} = \text{length} \times \text{width} = 2.6 \times 0.3 = 0.78 \text{ m}^2 \]
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Total area of one wing: \[ \text{Total area of one wing} = \text{Area of triangle} + \text{Area of rectangle} = 0.28 + 0.78 = 1.06 \text{ m}^2 \]
Since there are two wings, we multiply the area of one wing by 2: \[ \text{Total area for both wings} = 1.06 \times 2 = 2.12 \text{ m}^2 \]
If the shaded area is not provided and we simply need the total non-shaded area, assuming the entire area is needed, it indicates that you would need to cover both wings. If any part of this area is shaded and you need to exclude that, you would need more specific information about that shaded area.
Considering your options, let’s round our calculation considering only half the wings’ area if the shaded area indeed takes up some space. However, based on the calculation, the closest answer is roughly:
- Total area covered by shiny nylon, if we assume no shading, would be approximating near 2.12 m², leading us to select 2.38 square meters as the closest option.
So, you need 2.38 square meters of shiny nylon to cover the non-shaded area of one pair of wings.