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

Read more about this topic:  Parallelogram

Famous quotes containing the words area and/or formulas:

    “Now for civil service reform. Legislation must be prepared and executive rules and maxims. We must limit and narrow the area of patronage. We must diminish the evils of office-seeking. We must stop interference of federal officers with elections. We must be relieved of congressional dictation as to appointments.”
    —Rutherford Birchard Hayes (1822–1893)

    “It is sentimentalism to assume that the teaching of life can always be fitted to the child’s interests, just as it is empty formalism to force the child to parrot the formulas of adult society. Interests can be created and stimulated.”
    —Jerome S. Bruner (20th century)