Library/Geometry/Plane geometry/Area/Area of a parallelogram

Area of a parallelogram

Overview
Important

For any parallelogram, the area is given by multiplying the length of a base by the perpendicular height from that base to the opposite side. If the parallelogram has base bb and height hh, then Area=b×h\text{Area} = b \times h. The height is always measured perpendicular to the base, not along the side.

Important properties

  • Area does not depend on the slant of the sides, only on base and height.

  • Cutting and rearranging a parallelogram can form a rectangle with the same area.

  • If the parallelogram is a rectangle, the formula is the same.

  • The base can be any side, as long as the corresponding height is used.