Subjects geometry

Area Comparison 150E58

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1. **State the problem:** We need to find which figure has a greater area: a rectangle with dimensions 17 mm by 9 mm or a square with side length 13.2 mm. 2. **Formula for area:** - Area of a rectangle = $\text{length} \times \text{width}$ - Area of a square = $\text{side}^2$ 3. **Calculate the area of the rectangle:** $$\text{Area}_{rectangle} = 17 \times 9 = 153 \text{ mm}^2$$ 4. **Calculate the area of the square:** $$\text{Area}_{square} = 13.2^2 = 13.2 \times 13.2 = 174.24 \text{ mm}^2$$ 5. **Compare the areas:** - Rectangle area = $153 \text{ mm}^2$ - Square area = $174.24 \text{ mm}^2$ Since $174.24 > 153$, the square has a greater area. **Final answer:** The green square has a greater area than the yellow rectangle.