Parallelogram - Area Formulas

Area Formulas

  • The area K of the parallelogram to the right (the blue area) is the total area of the rectangle less the area of the two orange triangles.
The area of the rectangle is
and the area of a single orange triangle is
Therefore, the area of the parallelogram is
\begin{align} K &= A_\text{rect} - 2 \times A_\text{tri} \\ &= \left( (B+A) \times H \right) - \left( A \times H \right) \\ &= B \times H \\ \end{align}
  • Another area formula, for two sides B and C and angle θ, is
  • The area of a parallelogram with sides B and C (B ≠ C) and angle at the intersection of the diagonals is given by

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