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Area of Quadrilaterals

The content provides a comprehensive guide on calculating the areas of special quadrilaterals, emphasizing the importance of understanding the base and height relationship, and the application of the Pythagorean theorem for irregular shapes.
  • The area of a square is calculated as the side length squared, highlighting the geometric origin of algebraic squaring.
  • For rectangles, rhombuses, and parallelograms, the area formula is base times height, with the height being perpendicular to the base.
  • The Pythagorean theorem is crucial for finding the height in rhombuses and parallelograms when it is not directly given.
  • Trapezoids require averaging the lengths of the two bases and multiplying by the height for the area calculation.
  • Subdividing irregular quadrilaterals into rectangles and right triangles can simplify the process of finding their areas.
Understanding Square Area
Rectangle, Rhombus, and Parallelogram Area Formulas
Applying the Pythagorean Theorem
Calculating Area of Trapezoids