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What is the formula for finding the area of a parallelogram?

  1. Area = length * width

  2. Area = base * height

  3. Area = base1 + base2

  4. Area = height * (base1 + base2) / 2

The correct answer is: Area = base * height

The formula for finding the area of a parallelogram is based on the relationship between its base and height. The area is calculated by multiplying the length of the base by the height, which is the perpendicular distance from the base to the opposite side. This measurement captures the full extent of the shape regardless of the side lengths or angles, as long as the height is perpendicular to the base. In contrast, while the first option references the area calculation for rectangles, the other options deal with concepts related to trapezoids or different shapes, which are not applicable to parallelograms. Specifically, options involving sums of the bases or averages pertain to finding the area of trapezoids, not parallelograms, where the height is directly relevant to just a single base.