Subjects geometry

Trapezoid Area 72Be3D

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Question: Calculate the area of the trapezoid. 38 ft 8.5 ft 19 ft The area of the trapezoid is __________ square feet.
1. **State the problem:** We need to find the area of a trapezoid with bases of lengths $38$ ft and $19$ ft, and height $8.5$ ft. 2. **Formula for the area of a trapezoid:** $$\text{Area} = \frac{(\text{Base}_1 + \text{Base}_2)}{2} \times \text{Height}$$ 3. **Substitute the given values:** $$\text{Area} = \frac{(38 + 19)}{2} \times 8.5$$ 4. **Simplify inside the parentheses:** $$\text{Area} = \frac{57}{2} \times 8.5$$ 5. **Simplify the fraction:** $$\text{Area} = 28.5 \times 8.5$$ 6. **Calculate the product:** $$\text{Area} = 242.25$$ 7. **Final answer:** The area of the trapezoid is $242.25$ square feet.
38 ft19 ft8.5 ft