1. The problem asks to find the area of an irregular U-shaped polygon with given side lengths. 2. To find the area, we divide the shape into smaller rectangles. 3. Observing the shape, we can divide it into 3 rectangles: two vertical rectangles on the sides and one horizontal rectangle at the bottom middle. 4. The dimensions are: - Left rectangle: height 10 cm, width 4 cm - Right rectangle: height 6 cm, width 4 cm - Bottom rectangle: width 10 cm, height (10 - 6) = 4 cm 5. Calculate the area of each rectangle: - Left rectangle area = $10 \times 4 = 40$ cm$^2$ - Right rectangle area = $6 \times 4 = 24$ cm$^2$ - Bottom rectangle area = $10 \times 4 = 40$ cm$^2$ 6. Sum the areas to get the total area: $$\text{Total area} = 40 + 24 + 40 = 104 \text{ cm}^2$$ 7. Therefore, the area of the irregular shape is $104$ cm$^2$. Answer to the multiple-choice question: C) 3 rectangles.