To find the area of the figure with given dimensions of 8 inches, we need to clarify the shape based on the hint to separate it into regular shapes.
Assuming we have an arrangement of three squares, each with dimensions of 8 inches by 8 inches:
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Area of each square: \[ A = \text{side} \times \text{side} = 8 , \text{in} \times 8 , \text{in} = 64 , \text{in}^2 \]
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Total area of the three squares: \[ \text{Total Area} = 3 \times 64 , \text{in}^2 = 192 , \text{in}^2 \]
Now if we consider that the 8 in, 8 in, and 8 in could represent the sides of a triangle but given as an assumption, let’s consider another method. Assuming we have a triangle formed by these sides:
- Area of a triangle using Heron's formula:
- Calculate the semi-perimeter \(s\): \[ s = \frac{a + b + c}{2} = \frac{8 + 8 + 8}{2} = 12 , \text{in} \]
- Using Heron's formula to find the area: \[ A = \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{12(12-8)(12-8)(12-8)} = \sqrt{12 \times 4 \times 4 \times 4} \] \[ A = \sqrt{12 \times 64} = \sqrt{768} = 16 \sqrt{3} \approx 27.71 , \text{in}^2 \]
So based on the visual or a complete description of what the three dimensions form in separation, we can find two figures, either three squares or an equilateral triangle.
The areas calculated are:
- If three squares: 192 in²
- If a triangle: approximately 27.71 in²
Without specific indications on the drawing or configuration, please specify if it's forming any unique solid, and we can work with the details further to clarify the total area.