Subjects geometry

Polygon Area 4E530D

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1. **State the problem:** Find the area of a polygon composed of two rectangles attached horizontally. 2. **Identify the dimensions:** - Left rectangle: width = 3 ft, height = 22 ft - Right rectangle: width = 4 ft, height = 16 ft - Horizontal segment between rectangles = 6 ft (not needed for area calculation since rectangles are attached side by side) 3. **Formula for area of a rectangle:** $$\text{Area} = \text{width} \times \text{height}$$ 4. **Calculate area of left rectangle:** $$3 \times 22 = 66$$ 5. **Calculate area of right rectangle:** $$4 \times 16 = 64$$ 6. **Calculate total area of polygon:** $$66 + 64 = 130$$ 7. **Answer:** The area of the polygon is **130** square feet.