Subjects geometry

Trapezoid Area 0Ca69B

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1. **State the problem:** We need to find the area of a right trapezoid with parallel sides of lengths 13 yards and 9 yards, and a height of 9 yards. 2. **Formula for the area of a trapezoid:** $$\text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}$$ 3. **Substitute the given values:** $$\text{Area} = \frac{1}{2} \times (13 + 9) \times 9$$ 4. **Simplify inside the parentheses:** $$\text{Area} = \frac{1}{2} \times 22 \times 9$$ 5. **Multiply:** $$\text{Area} = \frac{1}{2} \times 198$$ 6. **Simplify the multiplication by 1/2:** $$\text{Area} = \cancel{\frac{1}{2}} \times \cancel{198} = 99$$ 7. **Final answer:** The area of the trapezoid is **99 square yards**.