Subjects geometry

L Shaped Area 906B03

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1. **State the problem:** Find the area of the L-shaped figure given the dimensions. 2. **Break down the figure:** The figure can be divided into two rectangles: - Rectangle A (top): width = 8 ft, height = 6 ft - Rectangle B (right vertical): width = 4 ft, height = 15 ft 3. **Subtract the overlapping part:** There is an overlapping rectangle (bottom left missing part) with width = 4 ft and height = 9 ft. 4. **Calculate areas:** - Area of Rectangle A: $$8 \times 6 = 48$$ square feet - Area of Rectangle B: $$4 \times 15 = 60$$ square feet - Area of overlapping rectangle: $$4 \times 9 = 36$$ square feet 5. **Calculate total area:** $$\text{Total area} = 48 + 60 - 36$$ 6. **Simplify:** $$\text{Total area} = 108 - 36 = 72$$ square feet **Final answer:** The area of the figure is **72** square feet.