To find the area of the composite figure, we need more information regarding how the figure is shaped and the specific dimensions of its components. However, based on the hint provided, it seems like you're decomposing the shape into simpler parts like rectangles and triangles.
Assuming the shape comprises a rectangle and a triangle that can be decomposed:
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Finding the base and height of the triangle:
- From the hint, the base of the triangle is \(10 - 3 = 7\).
- The height appears to be the vertical dimension of the triangle, which needs to be specified.
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Finding the area of the rectangle:
- If we consider a rectangle that has a base of \(10\) units (bottom) and a height of \(24\) units (left), its area can be calculated as:
- Area of the rectangle = Base × Height = \(10 \times 24 = 240\) units squared.
- If we consider a rectangle that has a base of \(10\) units (bottom) and a height of \(24\) units (left), its area can be calculated as:
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Finding the area of the triangle:
- The area of the triangle can be calculated using the formula:
- Area = \(\frac{1}{2} \times \text{base} \times \text{height}\)
- Assuming a height of \(25\) units for the triangle:
- Area = \(\frac{1}{2} \times 7 \times 25 = 87.5\) units squared.
- The area of the triangle can be calculated using the formula:
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Total area calculation:
- Total Area = Area of Rectangle + Area of Triangle
- Total Area = \(240 + 87.5 = 327.5\) units squared.
This calculation will provide a total area of \(327.5\) units squared, which does not match any of the provided multiple-choice answers. To resolve this discrepancy, we would need to be certain of the dimensions and the components being used.
Given the limited information and possible dimensions, if we are indeed subtracting other shapes or areas within the figure, please clarify the dimensions or structures so I can assist you further in finding the accurate total area. Otherwise, if we assume only the rectangle perhaps and fix the measurements, we might opt for one of the options presented.
In review of the options given, none appear to directly align unless we clarify further. Could you provide any additional details of the shape to refine the calculation or approach?