Subjects geometry

Trapezoid Area E6D2Ab

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1. **State the problem:** We need to find the area of a trapezoid with top base $0.3$ miles, bottom base $0.8$ miles, and height $0.6$ miles. 2. **Formula for the area of a trapezoid:** $$\text{Area} = \frac{(\text{Base}_1 + \text{Base}_2)}{2} \times \text{Height}$$ 3. **Identify the values:** - $\text{Base}_1 = 0.3$ miles (top base) - $\text{Base}_2 = 0.8$ miles (bottom base) - $\text{Height} = 0.6$ miles 4. **Substitute the values into the formula:** $$\text{Area} = \frac{(0.3 + 0.8)}{2} \times 0.6$$ 5. **Simplify inside the parentheses:** $$0.3 + 0.8 = 1.1$$ 6. **Calculate the average of the bases:** $$\frac{1.1}{2} = 0.55$$ 7. **Multiply by the height:** $$0.55 \times 0.6 = 0.33$$ 8. **Final answer:** The area of the trapezoid is $0.33$ square miles.