To calculate the total area of the piece of jewelry designed by Hector, we need to know the dimensions and shapes involved in the design. However, since there's no diagram provided, I can guide you on how to approach the problem based on common geometric shapes.
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Identify Shapes: Typically, jewelry might consist of shapes such as rectangles, triangles, or circles. Make sure to identify each shape in the design and its corresponding measurements.
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Calculate Areas:
- For a rectangle, the area \( A \) is calculated as \( A = \text{length} \times \text{width} \).
- For a triangle, the area \( A \) is calculated as \( A = \frac{1}{2} \times \text{base} \times \text{height} \).
- For a circle, the area \( A \) is calculated as \( A = \pi \times \text{radius}^2 \).
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Add Areas Together: Once you have the area for each identified shape, add them together to get the total area.
If you can provide the exact dimensions or a visual representation of the piece, I’d be happy to help you work through the calculations to find the total area. Otherwise, based on the options you provided, you may be expected to recall or estimate the correct amount based on common calculations.