Parallelogram Area Calculator

Calculate the area of a parallelogram by multiplying base by height. Includes the formula, a worked example, and how it relates to rectangle area.

Calculate area of parallelogram

\\text{area} = \\text{base} \\times \\text{height}

Where height is the perpendicular distance between the base and the opposite side.

Calculate the area of a parallelogram with base 10 cm and height 6 cm:

\\text{area} = 10 \\times 6 = 60 \\text{ cm}^2

Result: 60 cm²

Using two sides and included angle:

\\text{area} = ab \\sin(\\theta)

Where a and b are adjacent sides, and θ is the included angle.

Using diagonals:

\\text{area} = \\frac{1}{2} d_1 d_2 \\sin(\\phi)

Where d₁ and d₂ are diagonals, and φ is the angle between them.

How do I find the height if it's not given? Use trigonometry: $h = b \\sin(\\theta)$ where b is the side length and θ is the angle.

Is a rectangle a parallelogram? Yes, a rectangle is a special parallelogram with all angles equal to 90°.

Is a rhombus a parallelogram? Yes, a rhombus is a special parallelogram with all sides equal.

What if I know all four sides but not the height? You need at least one angle to calculate the area.

Can the area be zero? Only if the parallelogram is degenerate (all points collinear).