The area of a parallelogram can be found using the formula:
Area=Base×Height\text{Area}=\text{Base}\times \text{Height}Area=Base×Height
where:
- The base is the length of any one side of the parallelogram.
- The height (or altitude) is the perpendicular distance from the base to the opposite side.
If you know the base and the height, multiply them to get the area in square units. Additionally, if the height is not known, the area can also be found using:
- The lengths of two adjacent sides and the angle between them:
Area=a×b×sin(θ)\text{Area}=a\times b\times \sin(\theta)Area=a×b×sin(θ)
where aaa and bbb are the sides and θ\theta θ is the included angle.
- The lengths of the diagonals and the angle between them:
Area=12×d1×d2×sin(ϕ)\text{Area}=\frac{1}{2}\times d_1\times d_2\times \sin(\phi)Area=21×d1×d2×sin(ϕ)
where d1d_1d1 and d2d_2d2 are the diagonals and ϕ\phi ϕ is the angle between the diagonals. The most common and straightforward method is to use the base and the height when available.
