To find the surface area of the figure, it seems there may be some confusion. The description mentions a rectangle with sides 8 cm, 5 cm, and 2 cm. However, a rectangle typically only has two dimensions (length and width), while the inclusion of "2 cm" suggests a three-dimensional figure, possibly a rectangular prism.
Let's clarify what we might calculate:
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If you are looking for the area of a rectangle with the dimensions of 8 cm and 5 cm: \[ \text{Area} = \text{length} \times \text{width} = 8 , \text{cm} \times 5 , \text{cm} = 40 , \text{cm}^2 \]
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If "2 cm" indicates the height of a rectangular prism (with a base of 8 cm and 5 cm), the surface area \(A\) can be calculated using the formula: \[ A = 2lw + 2lh + 2wh \] where \(l = 8 , \text{cm}\), \(w = 5 , \text{cm}\), and \(h = 2 , \text{cm}\).
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Calculate each area:
- \(2lw = 2 \times 8 \times 5 = 80 , \text{cm}^2\)
- \(2lh = 2 \times 8 \times 2 = 32 , \text{cm}^2\)
- \(2wh = 2 \times 5 \times 2 = 20 , \text{cm}^2\)
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Adding these together: \[ A = 80 + 32 + 20 = 132 , \text{cm}^2 \]
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Therefore, based on the given dimensions for a rectangular prism, the surface area is 132 cm².
So the correct response is: 132 cm².