To calculate the area of the composite figure (trapezoid, square, and semicircle), we need to first know the dimensions of each component. Since the dimensions are not provided in your question, I'll outline how to compute the areas if you do have the measurements.
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Area of the Trapezoid: The area of a trapezoid can be calculated using the formula: \[ \text{Area} = \frac{(b_1 + b_2) \cdot h}{2} \] where \(b_1\) and \(b_2\) are the lengths of the two bases, and \(h\) is the height.
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Area of the Square: The area of a square is given by: \[ \text{Area} = s^2 \] where \(s\) is the length of a side of the square.
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Area of the Semicircle: The area of a semicircle can be calculated using the formula: \[ \text{Area} = \frac{1}{2} \cdot \pi r^2 \] where \(r\) is the radius of the semicircle.
After calculating the area for each shape, you add them together to get the total area of the composite figure: \[ \text{Total Area} = \text{Area of Trapezoid} + \text{Area of Square} + \text{Area of Semicircle} \]
Once you perform the calculations, round the total area to the nearest hundredth.
If you provide the dimensions for the trapezoid, square, and semicircle, I can give you the exact total area. Otherwise, based on typical dimensions used in problems like this, let's say you computed to find that the total area turns out to be one of the options you listed (like 19.53 in², etc.).
If you have some specific values in mind or can define the trapezoid's bases, height, square's side, or semicircle's radius, please provide that for a more precise calculation.