To determine the area based on the dimensions you've provided (8 ft, 8 ft, and 5.5 ft), it seems like you may be trying to find the area of a triangle or possibly a trapezoid, as these dimensions suggest a form.
Here’s how to find the area using both interpretations:
Calculating the Area of a Triangle:
If we assume the triangle has sides of lengths 8 ft, 8 ft, and 5.5 ft, we can find the area using Heron's formula.
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Calculate the semi-perimeter (s): \[ s = \frac{a + b + c}{2} = \frac{8 + 8 + 5.5}{2} = \frac{21.5}{2} = 10.75 , \text{ft} \]
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Use Heron's formula to find the area (A): \[ A = \sqrt{s(s-a)(s-b)(s-c)} \] \[ A = \sqrt{10.75 \times (10.75 - 8) \times (10.75 - 8) \times (10.75 - 5.5)} \] \[ A = \sqrt{10.75 \times 2.75 \times 2.75 \times 5.25} \] \[ A \approx \sqrt{10.75 \times 2.75^2 \times 5.25} \] \[ A \approx \sqrt{10.75 \times 7.5625 \times 5.25} \] \[ A \approx \sqrt{460.4883} \approx 21.43 , \text{ft}^2 \]
If You Meant a Rectangle:
Assuming you instead meant a rectangle with sides of 8 ft and 5.5 ft: \[ \text{Area} = \text{length} \times \text{width} = 8 \times 5.5 = 44 , \text{ft}^2 \]
Conclusion:
- If a triangle: Area ≈ 21.43 ft²
- If a rectangle: Area = 44 ft²
Please clarify or specify if you were looking for a different shape or further calculations!