Subjects geometry

Area Comparison A93647

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1. **State the problem:** We need to find which figure has a greater area: a parallelogram with base 16.5 yd and height 15 yd, or a square with side length 15.1 yd. 2. **Formula for area:** - Area of a parallelogram = base \times height - Area of a square = side \times side = side^2 3. **Calculate the area of the parallelogram:** $$\text{Area}_{\text{parallelogram}} = 16.5 \times 15 = 247.5$$ square yards 4. **Calculate the area of the square:** $$\text{Area}_{\text{square}} = 15.1^2 = 15.1 \times 15.1 = 228.01$$ square yards 5. **Compare the areas:** $$247.5 > 228.01$$ 6. **Conclusion:** The parallelogram has a greater area than the square.