To find the area of a figure described with the dimensions given (4 in, 5 in, 4 in, 2 in), we need to first identify the shape of the figure. However, without a specific description of the arrangement of these sides, I will consider two common interpretations:
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Rectangular Shape: If the dimensions represent the lengths of a rectangle, we can assume that the rectangle has a length of 5 inches and a width of 4 inches. \[ \text{Area} = \text{length} \times \text{width} = 5 , \text{in} \times 4 , \text{in} = 20 , \text{in}^2 \]
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Complex Shape: If these are the sides of a complex figure (like a trapezoid or another polygon), we need more information about how these sides are arranged to calculate the area accurately.
For instance, if we assume the sides are arranged to form a trapezoid with bases 4 in and 5 in, and a height of 2 in, the area would be calculated as: \[ \text{Area} = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height} = \frac{1}{2} \times (4 + 5) \times 2 = \frac{1}{2} \times 9 \times 2 = 9 , \text{in}^2 \]
Please provide additional details about the shape formed by these dimensions, and I can give a more accurate calculation of the area.