1. **Problem Statement:** Determine which given area calculations for the shapes with specified side lengths are incorrect. 2. **Approach:** For each shape, calculate the area based on the given dimensions and compare it to the stated area. 3. **Important Rules:** - Area of rectangle = length \times width. - For composite shapes, divide into rectangles, calculate each area, then sum. 4. **Calculations:** **Shape 1 (Top-left):** Dimensions: 9 cm, 16 m, 10 m, 8 m, 19 m; Area stated = 224 m². - Note: Mixed units (cm and m), convert 9 cm = 0.09 m. - The shape is irregular; assuming a polygon with given sides, but no clear shape, so cannot verify area accurately without shape details. **Shape 2 (Top-center):** L-shaped figure with sides 10 cm, 22 cm, 12 cm, 5 cm; Area stated = 230 cm². - Divide into two rectangles: - Rectangle 1: 10 cm \times 22 cm = $$10 \times 22 = 220$$ cm² - Rectangle 2: 12 cm \times 5 cm = $$12 \times 5 = 60$$ cm² - Total area = $$220 + 60 = 280$$ cm² - Stated area is 230 cm², which is incorrect. **Shape 3 (Top-right):** U-shaped with sides 1 yd, 5 yd, 1 yd, 9 yd, 10 yd; Area stated = 50 yd². - Break into rectangles: - Rectangle 1: 1 yd \times 5 yd = $$1 \times 5 = 5$$ yd² - Rectangle 2: 1 yd \times 9 yd = $$1 \times 9 = 9$$ yd² - Rectangle 3: 10 yd \times (assumed width) - insufficient data to calculate total area. - Cannot verify without full shape details. **Shape 4 (Bottom-left):** Stepped shape with sides 3 mm, 14 mm, 2 mm, 2.5 mm, 2 mm; Area stated = 17 mm². - Approximate area by summing rectangles: - Rectangle 1: 3 mm \times 14 mm = $$3 \times 14 = 42$$ mm² - Rectangle 2: 2 mm \times 2.5 mm = $$2 \times 2.5 = 5$$ mm² - Rectangle 3: 2 mm \times (assumed height) - insufficient data. - Stated area 17 mm² is too low; likely incorrect. **Shape 5 (Bottom-center):** Divided into 3 rectangles A, B, C with dimensions 7 yd, 3 yd, 4 yd, 2 yd, 3 yd; Area stated = 48 yd². - Calculate areas: - A: 7 yd \times 3 yd = $$7 \times 3 = 21$$ yd² - B: 4 yd \times 2 yd = $$4 \times 2 = 8$$ yd² - C: 3 yd \times (assumed height) - insufficient data. - Sum known areas: $$21 + 8 = 29$$ yd², less than stated 48 yd², so likely incorrect. **Shape 6 (Bottom-right):** Heights and widths 8.8 ft, 1.2 ft, 3.8 ft, 2.5 ft, 5 ft; Area stated = 23.06 ft². - Approximate area by summing rectangles: - Rectangle 1: 8.8 ft \times 1.2 ft = $$8.8 \times 1.2 = 10.56$$ ft² - Rectangle 2: 3.8 ft \times 2.5 ft = $$3.8 \times 2.5 = 9.5$$ ft² - Rectangle 3: 5 ft \times (assumed height) - insufficient data. - Sum known areas: $$10.56 + 9.5 = 20.06$$ ft², less than stated 23.06 ft², so possibly correct if last rectangle area is 3 ft². 5. **Summary of Wrong Areas:** - Shape 2: Stated 230 cm², actual 280 cm². - Shape 4: Stated 17 mm², actual at least 47 mm². - Shape 5: Stated 48 yd², actual at least 29 yd². 6. **Final Answer:** - Incorrect areas: Shape 2, Shape 4, Shape 5.