To find the area of the given figure, we will separate it into the two regular shapes: a square and a triangle.
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Area of the Square: A square has a formula for area given by: \[ A = \text{side} \times \text{side} \] For the square with side length of 8 inches: \[ A_{\text{square}} = 8 , \text{in} \times 8 , \text{in} = 64 , \text{in}^2 \]
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Area of the Triangle: The area of a triangle is calculated using the formula: \[ A = \frac{1}{2} \times \text{base} \times \text{height} \] If we assume that the triangle has a base of 8 inches and a height of 8 inches: \[ A_{\text{triangle}} = \frac{1}{2} \times 8 , \text{in} \times 8 , \text{in} = \frac{1}{2} \times 64 , \text{in}^2 = 32 , \text{in}^2 \]
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Total Area: Now, we combine the areas of the square and the triangle to find the total area: \[ A_{\text{total}} = A_{\text{square}} + A_{\text{triangle}} = 64 , \text{in}^2 + 32 , \text{in}^2 = 96 , \text{in}^2 \]
Thus, the total area of the figure is: \[ \boxed{96} , \text{in}^2 \]