To determine the total area of the composite figure based on your description, let's analyze the geometric components involved.
You've mentioned that the shape is a triangle with a flat top and provided some dimensions: 3, 24, 25, and 10.
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Base and Height of the Triangle:
- The base of the triangle, given in your hint, is identified as \(10 - 3 = 7\) (assuming 10 is the total base and 3 is a part that forms the smaller triangle).
- The height of the triangle appears to be provided as \(24\).
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Area of the Triangle: The area \(A\) of a triangle can be calculated using the formula: \[ A = \frac{1}{2} \times \text{base} \times \text{height} \] Substituting the values we have: \[ A = \frac{1}{2} \times 7 \times 24 = 84 \text{ units squared} \]
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Composite Figure: If there are other components in this composite figure that you need to add (for instance, rectangles or other triangles), you will need their respective dimensions to calculate their areas and add them to the triangle's area.
Without additional information about those parts, we can only conclude that the area of the triangle alone is \(84\) units squared.
Now let's analyze the area options you've given:
- 250 units squared
- 240 units squared
- 156 units squared
- 67 units squared
Given that none of these match the area we computed for just the triangle, it's likely that there are additional shapes included in your composite figure, and the total area must be calculated based on those as well.
Please provide the dimensions or areas of any additional parts of the composite figure to calculate the total area accurately. If the question is meant to include more components, we need that information to finalize the solution.