To find the area of the shaded region, we need to first understand the shape and dimensions of the figure involved. However, since you have provided only the lengths (36.1 cm, 36.1 cm, 14.8 cm, and 14.8 cm) without any context or a figure, I can give a general approach to calculate the area, depending on what shape or configuration these dimensions are used for.
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Identify the Shape: Determine if the shaded area forms a rectangle, trapezoid, triangle, or any other geometric shape.
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Calculating Area:
- Rectangle: If the shaded region is a rectangle with length 36.1 cm and width 14.8 cm, the area \( A \) is: \[ A = \text{length} \times \text{width} = 36.1 , \text{cm} \times 14.8 , \text{cm} \]
- Triangle: If it's a triangle, the area can be calculated as: \[ A = \frac{1}{2} \times \text{base} \times \text{height} \]
- Trapezoid: If it’s a trapezoid, you would use: \[ A = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height} \]
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Calculating using given dimensions:
- For example, if we consider the dimensions 36.1 cm and 14.8 cm to define a rectangle: \[ A = 36.1 , \text{cm} \times 14.8 , \text{cm} = 534.68 , \text{cm}^2 \] This area, when rounded to the nearest hundredth, is 534.68 cm².
Please clarify the shape or provide additional details about the configuration of the shaded region for more accurate assistance.