Subjects geometry

Parallelogram Area 810708

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1. **State the problem:** We need to find the area of a shaded parallelogram inside a rectangle. The rectangle has height 18 cm and width 9 cm. The parallelogram's base is along the bottom side of the rectangle, and its height is determined by subtracting a segment length from the rectangle's height. 2. **Identify given lengths:** - Rectangle height = 18 cm - Rectangle width = 9 cm (this will be the base of the parallelogram) - Segment to subtract from height = 11 cm 3. **Formula for area of a parallelogram:** $$\text{Area} = \text{base} \times \text{height}$$ 4. **Calculate the height of the parallelogram:** The parallelogram's height is the difference between the rectangle's height and the 11 cm segment: $$\text{height} = 18 - 11 = 7 \text{ cm}$$ 5. **Calculate the area:** $$\text{Area} = 9 \times 7 = 63 \text{ cm}^2$$ 6. **Final answer:** The area of the shaded parallelogram is **63 cm²**.