Area Formulas for Quadrilaterals

This page focuses on the area formulas for various quadrilaterals, providing visual representations alongside each formula.

1. Rectangle: P = a · b Where 'P' is the area, 'a' and 'b' are the lengths of the sides.

2. Square: P = a² Where 'a' is the length of a side.

3. Parallelogram: P = a · h₁ or P = b · h₂ Where 'h₁' and 'h₂' are the heights corresponding to sides 'a' and 'b' respectively.

4. Rhombus: P = (d₁ · d₂) / 2 Where 'd₁' and 'd₂' are the diagonals of the rhombus.

   Alternatively: P = a² / sin α Where 'a' is the side length and 'α' is one of the angles.

5. Trapezoid: P = ((a + b) · h) / 2 Where 'a' and 'b' are the parallel sides and 'h' is the height.

Example: For a rhombus with diagonals of length 6 cm and 8 cm, the area would be calculated as: P = (6 cm · 8 cm) / 2 = 24 cm²

Highlight: The trapezoid formula can be remembered as "half the sum of the parallel sides times the height".

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